Question

Given: ∠ABC and ∠CBD are complementary angles and ​m∠ABC=35°​

Prove:m∠CBD=55°

Answer 1

we know that sum of two complementary angles always equals to 90°

now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90

∠ABC = 35° given

so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°

therefore hence proved ∠CBD = 55°