Question

Points B​ and D​ are on the perpendicular bisector of ∠ABC​. The measure of ∠ABD​ is 45°​. Find the measure of ∠C​.

Answer 1

Explanation:

Given ∠B=45,∠C=55

So, ∠A=180°−45°−55°

=80°

From △ABD,40°+45°+∠ADB=180°

⟹∠ADB=95°

From△ADC,40°+55°+∠ADC=180°

⟹∠ADC=85°.