Question

4. In a triangle the largest angle is 5º more than four times its smallest angle. The third
angle is twice the smallest angle .
a) What is the sum of the angles of a triangle ?
b) Find the angles ?​

Answer 1

Answer:

• 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