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 ? Enter your answers in the boxes. ​ m∠A= ​ º ​ m∠C= ​ º

Answer 1

I believe the answer above/below was CORRECT.

Explanation:

Answer 2

see explanation

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles given and equate to 180

4x - 13 + 15 + x + 18 = 180 ( simplify left side )

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

∠A = 4x - 13 = (4 × 32) - 13 = 128 - 13 = 115°

∠C = x + 18 = 32 + 18 = 50°

As a check : 115° + 15° + 50° = 180° ← correct