Question

10.
Find the measure of angle 1.
8x - 4
16x + 8

Answer 1

the answer is C: 44 degrees

Answer 2

53°

Explanation:

As we can see that ∠3 and ∠7 are corresponding angles. Therefore,

• ∠3 = ∠7
• 6x+8 = 8x-7
• 6x-8x = -7-8
• -2x = -15
• x = -15/-2
• x = 15/2

Now calculate the angles of ∠3 and ∠7.

• ∠3
• 6x+8
• 6×15/2+8
• 45+8
• 53°

• ∠7
• 8x-7
• 8×15/2-7
• 60-7
• 53°

Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that

• ∠3 = ∠7 = ∠1 = 53°

Hence the measure of ∠1 is 53°.

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