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
1 answer:
Answer:
m∠A = 115°; m∠C = 50°
Step-by-step 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°
<em>Check:
</em>
115 + 15 + 50 = 180
180 = 180
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