Question

What is the measure of angle x?

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Answer 1

Opposite angles are equal and linear pairs are supplementary

• x+56+41=180
• x+97=180
• x=180-97
• x=83°

Answer 2

• x = 83°

Explanation:

There are 6 angles, 3 pairs of vertical angles that sum to 360°.

Set below equation and solve for x:

• 2(41° + 56° + x) = 360°
• 97° + x = 180°
• x = 180° - 97°
• x = 83°