Question

Two angles are SUPPLEMENTARY. One angle measures x - 39 and the other angle measures x + 61. Solve for x.

Answer 1

Answer:

Firstly, we have to know which angles are called Complementary Angles...

if we add two angles and the total will be equal to 90 deg

lets say one angle is x and another angle is y

as they are comlementary angles from the definition we can write the eqation x + y = 90

one angle is 20 deg more than other one so from above condition we wite x = 20 + y

substitute the value of x in the first eaquation we get, 20 + y + y = 90

then, 20 + 2y = 90

subtracting 20 from both sides,

2y = 90-20 = 70

dividing both sides by 2,

2y/ 2 = 70 / 2

y = 35

so we got one angle is 35 deg

another angle is 35 + 20 = 55 deg our answer is 55 deg the larger angle