Math, asked by safnapnr, 9 months ago

In a triangle,the largest angle is 5° more than 4 times its smallest angle. The third angle is twice the smallest angle.
a.what is the sum of the angles of the triangle?
b.find all the angles?
please answer ​

Answers

Answered by meghaprashantjadhav
1

Answer:

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Step-by-step explanation:

Let the smaller angle be = x

Given Largest angle is 5 more than four times smalles angle

Four times smaller angle = 4 * x = 4x

Largest angle = 5 + 4x (given)

3rd angle = 2 * x ( smaller angle) = 2x

1st angle = x

2nd angle = 5 + 4x

3rd angle = 2x

Sum of angles in a triangle = 180 degrees

x + 5 + 4x + 2x = 180 deg

7x + 5 = 180

7x = 180 -5

7x = 175

x = 175/7 = 25 degrees

1st angle = x = 25degrees

2nd angle = 5 + 4( 25) = 105 degrees

3rd angle = 2 * 25 = 50 degrees

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