Answer:
m∠1 = m∠4 = m∠5 = m∠8
m∠2 = m∠3 = m∠6 = m∠7
m∠1 + m∠2 = 180°
m∠3 + m∠4 = 180°
m∠5 + m∠6 = 180°
m∠7 + m∠8 = 180°
~~~~~
Given: m∠4= 5x+7 & m∠5= 7x-21
5x+7 = 7x-21
5x-7x = -21-7
-2x= -28
-2x/-2 = -28/-2
x = 14
m∠4 = 5x+7
Evaluate for x= 14
5(14)+7
70+7 = 77°
So, m∠1, m∠5, and m∠8 have a measure of 77°
For m∠2, m∠3, m∠6, and m∠7 have a measure of 103°, because the measure should be equal to 180° and if 77° is subtracted from 180°, their difference is 103°.
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Verified answer
Answer:
m∠1 = m∠4 = m∠5 = m∠8
m∠2 = m∠3 = m∠6 = m∠7
m∠1 + m∠2 = 180°
m∠3 + m∠4 = 180°
m∠5 + m∠6 = 180°
m∠7 + m∠8 = 180°
~~~~~
Given: m∠4= 5x+7 & m∠5= 7x-21
5x+7 = 7x-21
5x-7x = -21-7
-2x= -28
-2x/-2 = -28/-2
x = 14
m∠4 = 5x+7
Evaluate for x= 14
5(14)+7
70+7 = 77°
So, m∠1, m∠5, and m∠8 have a measure of 77°
For m∠2, m∠3, m∠6, and m∠7 have a measure of 103°, because the measure should be equal to 180° and if 77° is subtracted from 180°, their difference is 103°.