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Find the measure of each angle in triangle ABC. 7x + (7x + 1) + (8x + 3) = 180 B What is the value of x? X = (7x) What is the measure of angle A? mZA = What is the measure of angle B? (8x + 3)º (7x+ 1)^ A C mzB = What is the measure of angle C? mZC =​

Find the measure of each angle in triangle ABC 7x 7x 1 8x 3 180 B What is the value of x X 7x What is the measure of angle A mZA What is the measure of angle B class=

Respuesta :

Answer:

67°, 56° and 57°

Step-by-step explanation:

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

Sum the 3 angles and equate to 180

7x + 7x + 1 + 8x + 3 = 180, that is

22x + 4 = 180 ( subtract 4 from both sides )

22x = 176 ( divide both sides by 22 )

x = 8

Then

∠ A = 8x + 3 = 8(8) + 3 = 64 + 3 = 67°

∠ B = 7x = 7(8) = 56°

∠ C = 7x + 1 = 7(8) + 1 = 56 + 1 = 57°

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