Question

the second angle of a triangle is 3 times as large as the first angle the third angle is 30 degrees more than the first angle find the measure to the angles

Answer 1

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Hey mate here is your answer :::::::

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According to the question ::::




Let the First angle be X

Let the second angle be 3X

Let the third angle be X+30°




( we know that some of all the angles of a ∆ is 180°)



The equation formed will be ::::


X + 3X + X + 30= 180

5x+30=180

5x=180-30

5x=150

X=150/5

X=30°



So ,



First angle = 30°

Second angle = (3x) = 3(30) = 90°

Third angle = X+30 = 30+30 = 60°


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VERIFICATION ::::



Sum of all the angles of a triangle = 180°

First angle +second angle + third angle = 180°

30°+60°+90°=180°

90°+90°=180°

180°=180°

L.H.S.=R.H.S.



$hence \: verified$

♥~♥~♥~♥~♥~♥~♥~♥~♥

$hope \: it \: helps \: you \: mate$