a,b,c parallel to one another
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a,b,c parallel to one another
Find a
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It is possible for two adjacent angles to be right angles.
Corresponding angles are equal, but α isn't directly corresponding to the 83° angle. You need to use the triangle that contains α, where the angles must sum to 180°.
Look for the enclosed triangle that contains α as one of its vertices. The three angles of this triangle - including α - must add up to 180°.
Start by identifying parallel line relationships to find known angles, then focus on the triangle containing α. Use triangle angle sum as your final step.
No! The parallel lines give you the angle measurements needed. Without parallel line relationships like corresponding or alternate interior angles, you wouldn't know the triangle's other angles.
Add all three angles in the triangle: if they equal 180°, your answer is right! Also verify that you correctly identified parallel line angle relationships.
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