Question

Given a right triangle, find the degree measure of the angles if one angle is ten degrees more than four times the degree measure of the other angle and the third angle is the right angle.

Answer 1

a right angle is 90 degrees

the other 2 angles must equal 180-90 = 90 degrees

1st angle = x

2nd angle = 4x+10

add them together:

x + 4x +10 = 90

combine like terms:

5x +10 = 90

subtract 10 from each side:

5x =80

divide both sides by 5:

x = 80 /5 = 16

1st angle = 16 degrees

2nd angle = 4(16) +10 = 64 +10 = 74 degrees