Question

Find the measure of the indicated angle.

Answer 1

Explanation:

Given: ∠A =75°, ∠B=60° and ∠C=x

To find: ∠C

Proof: In △ABC

∠A =75° (given)

∠B=60° (given)

∠A+∠B +∠C=180° (angle sum property of a triangle: states that the sum of interior angles of a triangle is 180°)

75°+60°+∠C=180°

∠C=180-75+60

∠C=180-135°

∠C=45°

Therefore is 45 degrees.