Question

I need help with this question.

Answer 1

An exterior angle is equal to the two opposite inside angles.

You are given the exterior angle and the two opposite inside angles so you can set up an equation to solve for x, then replace x in the equation to solve for the angle.

7x-16 = 4x + x+8

Simplify:

7x-16 = 5x+8

Add 16 to each side:

7x = 5x+24

Subtract 5x from each side:

2x = 24

Divide both sides by 2:

x = 24/2

x = 12

Now replace x with 12:

7(12)-16

Simplify:

84 -16

Subtract:

Answer is 68 degrees.

Answer 2

Answer:

75

Step-by-step explanation:

The answer is 82 because itś not a right angle but it is very close to being one.

Step 1: (7x + 16) The first step would be to figre out what x equals in this case   x = 14

Step 2: 7(14) if you multiply you would get 98

Step 3: 98 - 16 = 82

Step 4: Apply 82 into the inner angle

Step 5: Find what the inner angles are because when you add a triangle together you should get 180 degrees

Step 6: (x + 8) x = 30  so the new prblem would be 30 + 8 = 38

Step 7: 4x Find out what x equals x = 15 so 4(15) = 60

Step 8: 82 + 38 + 60 = 120 + 60 = 180

This explains why the answer is 82 hope this helps.