Two angles are complementary. The sum of the measures of first angle and half the measure of the second angle is 65°. How do you find the measures of the angles?
1 Answer
Sep 9, 2015
The first angle measures
Explanation:
Two angles a re said to be complemetary angles when they add up to give an angle of
Let's assume that
#X + Y = 90^@#
Moreover, you know that if you add the first angle to half of the second angle, you get an angle of
#X + 1/2 * Y = 65^@#
Use the first equation to find
#X = 90 - Y#
Plug this into the second equation to find
#90-Y + 1/2 Y = 65#
#-1/2Y = 65 - 90#
#Y = 2 * 25 = color(green)(50^@)#
This means that angle
#X = 90 - (50) = color(green)(40^@)#