Question

one angle of a triangle is three times as large as another. the third angle is twice the sum of the first two angles. what is the measure of the largest angle?

Answer 1

Step-by-step explanation:

let the three angles be X,Y & Z

according to question

X=3Y

Z=2(X+Y)

Z=8Y(putting the value of X)

X+Y+Z=180

3Y+Y+8Y=180

Y=180/12=15

X=15x3=45

Z=8x15=120

therefore the measure of largest angle is 120⁰

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