Question

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A ​ (4x − 13)° ​ B 15° C (x + 18)∘ What is the measure of ∠A and ∠C ?

Answer 1

By Angle sum property,
Sum of all angles of a triangle equal to 180°.

As per the property,
A+B+C = 180°
4x-13 + 15 + x+18 = 180
5x+20 = 180
5x = 160
x = 32

Measure of Angle A =>
4x-13 = 4*32-13 = 128-13 = 115°

Measure of Angle C =>
x+18 = 32+18 = 50°

!! Hope It Helps !!