Question

What is m∠DHG ?

[6(x-2)]°

Answer 1

the answer is 72 i just took the test

Answer 2

we know that

Vertical angles are a pair of opposite and congruent angles formed by intersecting lines

so

Step 1

Find the value of x

`[6(x-2)]\°=(3x+30)\°` ------> by vertical angles

`6x-12=3x+30\\6x-3x=30+12\\3x=42\\x=14\°`

Step 2

Find the value of m∠DHG

m∠DHG=
`[6(x-2)]\°`

substitute the value of x

m∠DHG=
`[6*(14-2)]\°`

m∠DHG=
`[6*(12)]\°`

m∠DHG=
`72\°`

therefore

the answer is

m∠DHG=
`72\°`