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PLEASE HELPME SOLVE AND GIVE THE REASON FOR EACH ANGLE PLEASEEE! ILL GIVE 12 POINTS+ BRANLIEST AS I DO NEED BOTH THE ANGLE AND THE REASON!

PLEASE HELPME SOLVE AND GIVE THE REASON FOR EACH ANGLE PLEASEEE ILL GIVE 12 POINTS BRANLIEST AS I DO NEED BOTH THE ANGLE AND THE REASON class=

Sagot :

Answer:

b67

g67

c67

d63

a50

f50

e130

Answer:

a = 50°, b = 67°, c = 67°, d = 63°, e = 130°, f = 50°, g = 67°

Step-by-step explanation:

The 50° angle and a are alternate interior angles and are congruent when the lines are parallel.  So, a = 50

The 50° angle and f are vertical angles which are congruent. So, f = 50

The 50° angle and e are supplementary.  So, e + 50 = 180, or e = 130

The 113° angle and b are supplementary.  So, b + 113 = 180. or b = 67

b and g are vertical angles, so g = 67

b and c are alternate angles, so c = 67

c + d + 50 = 180

67 + d + 50 = 180

117 + d = 180

d = 63

Therefore, a = 50°, b = 67°, c = 67°, d = 63°, e = 130°, f = 50°, g = 67°

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