Answer:
3. m∠1 = 92; m∠2 = 24; m∠3 = 64; m∠4 = 35; m∠5 = 8
4. m∠1 = 35; m∠2 = 65; m∠3 = 29; m∠4 = 115; m∠5 = 65; m∠6= 36; m∠7 = 144
5. x = 13
6. x = 36
Explanation:
3. 88 + m∠1 = 180
m∠1 = 92
m∠3 = 64
m∠1 + m∠2 + m∠3 = 180
92 + m∠2 + 64 = 180
m∠2 = 24
64 + 81 + m∠4 = 180
m∠4 = 35
64 + 81 = 64 + m∠5
81 = m∠5
4.
m∠4 = 115
m∠2 = m∠5
m∠2 = 65
m∠5 = 65
65 + 61 + 90 + m∠7 = 360
m∠7 = 144
m∠6 = 36
m∠3 + 36 + 115 = 180
m∠3 = 29
m∠1 + 65 + 80 = 180
m∠1 = 35
5. 8x - 35 + 3x - 1 + 6x - 5 = 180
17x - 41 = 180
17x = 221
x = 13
5x - 11 + 2x + 20 = 11x - 63
7x + 9 = 11x - 63
-2x = -72
x = 36