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Can someone please help me, and explain?

Can someone please help me, and explain?-example-1

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Answer:

angle 1 = 54° because this angle is a vertical angle of 54°, and vertican angles are always the same.

angle 2 = 126° because straight line = 180°, and there we have 54°, so 180-54=126°

angle 3 = 126° because this angle is vertical angle to 126°

angle 4 = 121° because this angle is alternative interior angle of the sum of the angles 12(54) and 67°

angle 5 = 59° because angle 5 and angle 4 makes a straight line, staring line = 180°, and 180°-angle 4(121°)= 59°

angle 6 = 121° because this anle is vertican angle of 121°

angle 7 = 59 because this angle is vertical angle of 59°

angle 8 = 59° because this angle is corresponding to angle 5 (59°), and corresponding angles are always the same

angle 9 = 54° because this angle is corresponding angle to 54°

angle 10 = 67 because angle 10, 9 and 8 creates straight line, straight line = 180°, angle 9(54) + angle 8(59)=113, and 180°-113°=67°, that means that angle 10 = 67°

angle 11 = 59 because this angle is corresponding to angle 7 (59°)

angle 12 = 54° because this angle is corresponding angle to angle 1 (54°)

that is it :)

User Jochem Kuijpers
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