## 15. Of the three angles of a triangle, 1 point the second one is one third of the first and the third angle is 26 degrees mor

Question

15. Of the three angles of a triangle, 1 point

the second one is one third of the first

and the third angle is 26 degrees

more than the first angle. Find the

smallest of all the three angles of the

triangle.

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Math
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2021-10-11T08:00:40+00:00
2021-10-11T08:00:40+00:00 1 Answer
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## Answers ( )

Answer:FOR THIS SUM THERE ARE TWO METHODS I GIVE U BOT U CHOOSE YOUR WHICH LOOKS YOU EASY

HARD METHOD:

Let the first angle =∠A =x

the second angle = ∠B = 1/3x

and the third angle = ∠C = x + 26°

∠A + ∠B + ∠C = 180°

x + 1/3x + x+26° = 180°

7x/3 + 26° = 180°

7x/3 = 180° – 26°

7x/3 = 154°

x = 154° x 3/7

x = 66°

∠A = x= 66°

∠B =1/3 x = 1/3 x 66° = 22°

∠C = x + 26° = 66°+ 26° = 92°

EASY METHOD:A +B+C=180

B=1/3×A

C=26+A

A/3+26+A+A=180

2A+A/3=154

7A/3=154

7A=462

A=66

B=22

C=92BOTH ARE SAME MARK BRAINLIEST I GAVE U 2 METHODS THAT’S WHYStep-by-step explanation: