10. Find the measure of angle 1. 8x - 4 16x + 8
2 answers:
Answer:
53°
Step-by-step 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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