Question

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?

Answer 1

48 degrees

All three sides of the triagnle must add up to 180 degrees!

hope this helps :)

Answer 2

Hat means y + z = 180. 

y is thrice than z means y = 3 * z. 

replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. 

combine like terms to get 4 * z = 180. 

solve for z to get z = 180 / 4 = 45 degrees. 

since y = 3 * z, then y = 3 * 45 = 135 degrees. 

y = 135
z = 45 

y + z = 180 becomes 135 + 45 = 180
y = 3 * z = 135 = 3 *45 

solution is confirmed to be good.