Answer: 1) 70° 2) x = 55
Explanation:
1) If m∠1 = 70°,then m∠8 = 70°.
Because m∠8 is the vertical angle of m∠5, and m∠5 is the corresponding angle of m∠1, which means that m∠8 = m∠1 = 70°. And also m∠1 and m∠8 are alternate exterior angles, they equal to each other.
2) m∠4 = 70°, and m∠7 = 2x, then m∠4 + m∠7 = 180°,because they are consecutive interior angles.
m∠4 + m∠7 = 180°
70 + 2x = 180
2x = 110
x = 55