Question

14. Triangle DEF and angle measurements are shown. Write and

solve an equation to find the value of h.

Answer 1

`\huge\boxed{\sf h = 24}`

Explanation:

Statement:

• Interior angles of a triangle add up to 180 degrees.

So,

2h + 8 + 3h - 3 + 31 + h = 180

Combine like terms

2h + 3h + h + 8 - 3 + 31 = 180

6h + 36 = 180

Subtract 36 to both sides

6h = 180 - 36

6h = 144

Divide 6 to both sides

h = 144/6

h = 24

`\rule[225]{225}{2}`