Question

4. In Figure 4, PllQ and T is a transversal such that 21 = 135º. Find the measures of angle 2,angle 5, angle 6,angle 7 and angle 8.
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Answer 1

Answer:

ANGLE 1 = 135°

ANGLE 2 = 180° - 135° = 45° (LINEAR PAIR AXIOM)

ANGLE 3 = 135° (VERTICALLY OPPOSITE ANGLES)

ANGLE 4 = 180° - 135° = 45° (LINEAR PAIR AXIOM)

ANGLE 5 = ANGLE 1 = 135° (CORRESPONDING ANGLES)

ANGLE 6 = ANGLE 2 = 45° (CORRESPONDING ANGLES)

ANGLE 7 = ANGLE 3 = 135° (CORRESPONDING ANGLES)

ANGLE 8 = ANGLE 4 = 45° (CORRESPONDING ANGLES)