The sum of the measures of two complementary angles is (a) 180° (b) 60° (c) 45° (d) 90° Answer/Explanation. Since they are complementary angles, the angle + the angle's complement = 90 degrees Two complementary angles add up to 90 degrees. (Subtracting x from both sides) ∴ a = (90 – x) ∴ The measure of the complement of an angle of measure x° is (90 – x)°. Determine its measure ... Let the angle be x. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. kashveesingh kashveesingh 20.08.2017 Math Primary School The difference in the measures of two complementary angles is 12 degree. Hope this helps you understand, it isn't pointless trust me. A complement of an acute angle must be an acute angle. An acute angle is an angle whose measure is more than 0 degrees but less than 90 degrees. a. 38, 52 b. If the relationship is given, you can subtract the given angle from the sum to determine the measure of the missing angle. The measure of the complement of any angle A is ninety degrees minus the measure of angle A. So 30 degrees is complementary to 60 because they together make 90. Find an answer to your question an angle is equal to five times its complement . They always adds up to give positive measures and each angle can only be acute angle measuring less than 90 degree. Complementary and supplementary angles are the two types of angles based on their measures. For example, even if the angle was the minimum 1 degree, the complement is still 89 degrees, which is still acute. Two supplementary angles add up to 180 degrees. Then it's complement will b(90-x). Find the measures of the angles Get the answers you need, now! In case you need to set up an equation in addition to finding the answer: Let x = the angle. Determine its measure adarshmishra40 adarshmishra40 27.11.2018 Math Secondary School An angle is equal to five times its complement . The missing angle measures 103 degrees. (y – 20)° and (y + 30)° are the measures of complementary angles. Question 2. is done on EduRev Study Group by Railways Students. So if you have an angle that is 20 degrees, then the complement angle measures 70 degrees. The measure of an angle's complement is 24 less than twice the measure of the angle. x+5x=450. We have studied basic geometrical terms. Can you explain this answer? Select the measure of the complement or supplement of the angle. We know that two lines having a common vertex form an angle. Complementary Angles: It is defined as, any two angle that add up to 90 degrees( a right angle). Answer: (d) Explanation : Definition of complementary angles. Complementary Angles. ∴ x + a = 90 ∴ x + a – x = 90 – x …. Here we say that the two angles complement each other. Let's Review Complementary angles form a right angle (L shape) and have a sum of 90 degrees. x=5(90-x) x=450-5x. Suppose if one angle is x then the other angle will be 90 o – x. vii. An angle that measures 90 0 is a complementary angle and whose measure is 180 0 is a supplementary angle. Find the measure of the angle and its complement. The measure of the complement of the angle 30° is A/q. What is the measure of the angle?a)30°b)90°c)60°d)120°Correct answer is option 'C'. Here we can say that one angle is the complement of other or the one angle is the complementary to the other angle. Therefore, any combination of a complement of an acute angle MUST be acute. Supplementary angles form a straight line and have a sum of 180 degrees. Let the measure of the complementary angle be a°. The Questions and Answers of An angle is twice its complementary angle. Then x -30 = the measure of the angle's complement. So the supplement of a 65 degree angle is 115 because together they make 180 degrees. 6x=450. This discussion on An angle is twice its complementary angle. 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