If (3x-15)degree and (x+5)degree are complementary angles then find the angles - Maths - Lines and Angles

Question

If (3x-15)degree and (x+5)degree are complementary angles then find
the angles

Varun Rawat · Accepted Answer

We know that complementary angles add up to 90°
Let ∠A = 3x-15°  and ∠B = x+5°Now, ∠A and ∠B are complementary angles, then    ∠A + ∠B = 90°⇒ 3x-15° +  x+5° = 90°⇒4x - 10° = 90°⇒4x = 90° + 10°⇒4x = 100°⇒x = 14×100° = 25°

If (3x-15)degree and (x+5)degree are complementary angles then find the angles.