Question

help lol


ΔABC ≅ ΔXYZ.m∠A = 75° and m∠B = 50°. What is m∠Z?


55°


60°


50°


75°

will give brainliest to the right answer

Answer 1

m∠Z = 55°

Solution:

Given m∠A = 75° and m∠B = 50°

Let us first find the m∠C.

Sum of the angles of the triangle is 180°.

In ΔABC,

m∠A + m∠B + m∠C = 180°

⇒ 75° + 50° + m∠C = 180°

⇒         125° + m∠C = 180°

⇒                    m∠C = 180° – 125°

⇒                   m∠C = 55°

Given ΔABC ≅ ΔXYZ.

Corresponding parts of congruence triangles are congruent.

⇒ m∠Z = m∠C

⇒ m∠Z = 55°

Hence, m∠Z = 55°.