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

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Step-by-step 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

step-by-step explanation: