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

∠A = 115°

∠ C = 50°

Explanation:

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Answer 2

m∠A = 115°; m∠C = 50°

Explanation:

∠A + ∠B + ∠C = 180

4x – 13 + 15 + x + 18 = 180 Combine like terms

5x + 20 = 180 Subtract 20 from each side

5x = 160 Divide each side by 5

x = 32

∠A = 4 × 32 – 13

= 128 – 13

= 115°

∠ C = 32 + 18

= 50°

Check:

115 + 15 + 50 = 180

180 = 180