Question

HELP ASAP TWO MATH QUESTIONS

What is m∠G ?





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What is m∠BAD?




25º

85º

110º

125º

Answer 1

Part 1)
`m \angle G=121^o`

Part 2)
`m \angle BAD=110^o`

Explanation:

Part 1) What is m∠G ?

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In the triangle FGH

`m \angle F+m \angle G+m \angle H=180^o`

substitute the given values

`(x-5)^o+(3x+25)^o+x^o=180^o`

solve for x

`5x+20=180`

`5x=160`

`x=32^o`

Find the measure of angle G

`m \angle G=(3x+25)^o`

substitute the value of x

`m \angle G=(3(32)+25)=121^o`

Part 2) What is m∠BAD?

we know that

The Exterior Angle Theorem states that: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so

`m \angle BAD=85^o+25^o`

`m \angle BAD=110^o`