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2 years ago

Please help.

Mathematics

1 answer:

denis23 [38]2 years ago

3 0

9514 1404 393

Answer:

Angle 1 = 139°
Angle 2 = 41°
x = 29; exterior angle = 131°

Step-by-step explanation:

These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.

1. 53° +86° = ∠1

139° = ∠1

2. ∠2 +92° = 133°

∠2 = 133° -92°

∠2 = 41°

3. (x +9)° +93° = (4x+15)°

87 = 3x . . . . . . . . . . . . . . . . subtract x+15°

29 = x . . . . . . . divide by 3

The exterior angle is ...

(4x +15)° = (4·29 +15)° = 131° . . . exterior angle

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