Finding measure of an angle when two angles are described in word problem. Angles are supplementary. angle A and angle B are supplementary. The measure of angle B is equal to four times the complement of Angle A. What is the measure of Angle A? 3/27/2014 | Tiffany from Olney, TX | 2 Answers | 0 Votes Mark favorite Subscribe Comment
Hi Tiffany, Angle A and angle B are supplementary A+B=180° Equation 1 The measure of angle B is equal to four times the complement of angle A The complement of angle A=90°-A B=4(90°-A) B=360°-4A Substitute the value of B in equation 1 A+360°-4A=180° -3A=-180° A=60° The measure of angle A=60° B=360°-4A=360°-4(60°)=120° The measure of angle B=120° 3/27/2014 | Shelly J. Comment Comments THank you so much for the help! 3/28/2014 | Tiffany from Olney, TX Comment
Angle A and angle B are supplementary. The measure of angle B is equal to four times the complement of Angle A. What is the measure of Angle A? A + B = 180° B = 4(90°-A) 4A + B = 360° –A – B = –180° ––––––––––––– 3A = 180° A = 60° 3/27/2014 | Steve S. Comment Comments Thank you so much!!! I appreciate the quick response :) 3/28/2014 | Tiffany from Olney, TX Comment
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