In triangle PQR, measure of angle p is 14 less than five times x, measure of angle Q is five less than x, and measure of angle R is nine less than twice x, find x and the measure of each angle

x = 26 and the angles are P = 116, Q = 21 and R = 43

Step-by-step explanation:

A triangle has three sides and three angles. Thse angles have been givrn in word description and need to be written in algebraic form to enable us calculate:

P = 14 less than five times x = 5x - 14

Q = five less than x = x - 5

R = nine less than twice x = 2x - 9

The sum of all three angles in a triangle must equal 180 degrees, so we have;

5x - 14 + x - 5 + 2x - 9 = 180

5x + x + 2x - 14 - 5 - 9 = 180

8x - 28 = 180

8x = 180 + 28 = 208

x = = 26

Therefore:

P = 5x - 14 = 5(26) - 14 = 130 - 14 = 116

Q = x - 5 = 26 - 5 = 21

R = 2x - 9 = 2(26) - 9 = 52 - 9 = 43

Step-by-step explanation:

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the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: