Question

ahhhh please help! T.T

Answer 1

Answer: 70

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Explanation:

The exterior angles (2x+12) and (2x) have corresponding interior angles 180-(2x+12) and 180-(2x)

Triangle ABC has the following interior angles

A = 112

B = 180 - 2x

C = 180 - (2x+12) = 180-2x-12 = 168-2x

Add up the interior angles for A,B,C and set the result equal to 180. Solve for x

A+B+C = 180

(112)+(180-2x)+(168-2x) = 180

112+180-2x+168-2x = 180

460-4x = 180

-4x = 180-460

-4x = -280

x = -280/(-4)

x = 70

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Side note:

2x = 2*70 = 140 is the exterior angle for B, so 180-140 = 40 is the interior angle for angle B

2x+12 = 2*70+12 = 152 is the exterior angle for C, so 180 - 152 = 28 is the interior angle for C

Add up the interior angles to find that A+B+C = 112+40+28 = 180, so this helps confirm we have the right x value.

Answer 2

Answer:70

Step-by-step explanation: The exterior angles (2x+12) and (2x) have corresponding interior angles 180-(2x+12) and 180-(2x)Triangle ABC has the following interior angles A = 112B = 180 - 2xC = 180 - (2x+12) = 180-2x-12 = 168-2xAdd up the interior angles for A,B,C and set the result equal to 180. Solve for xA+B+C = 180(112)+(180-2x)+(168-2x) = 180112+180-2x+168-2x = 180460-4x = 180-4x = 180-460-4x = -280x = -280/(-4)x = 70