Question

Which of the following is true about the triangle. Angle C is equal to 45 degrees.

Answer 1

We know that the sum of all angles of any triangle is 180°.

In the given triangle, measure of two triangles is given.

∠A = 90°

∠C = 45°

According to the 'sum of angles' property.

⇒ ∠A + ∠B + ∠C = 180°

⇒ 90° + 45° + ∠C = 180°

⇒ 135° + ∠C = 180°

⇒ ∠C = 180° - 135°

⇒ ∠C = 45°

Therefore, the measure of ∠C is 45°.

45° = 45°

∠B = ∠C

Hence, option D is correct.

Answer 2

Option (D) is the correct one. because


it is shown that angle A= 90 degree

and it is given that angle C = 45


and we know that the sum of all angles of a triangle is 180 degree


hence ,angle A +angle B +angle C =180 degree

90 degree +angle B + 45 degree = 180 degree


so, angle B =45



hence angle B =angle C



Hope you got ur ans. thanks