In the geometric plane, line is parallel to line . A transversal line intersects line at point and line at point . Ray extends along line to the right of , and ray extends along line to the right of . The measure of interior angle is represented by and the measure of interior angle is represented by . Which of the following statements must be true? Select all such statements.
- The value of is .Cevap
- The measure of angle is .Cevap
- The acute angle formed by line and line at point measures .Cevap
- DThe value of is .
- EAngles and are complementary angles.
Cevap
The true statements are that , the measure of angle is , and the acute angle formed by line and line at point measures .
Lines and are parallel, so interior angles on the same side of transversal (angles and ) are supplementary. Solving gives . Substituting yields and . The adjacent angle to at point is , which is acute.
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Anahtar Kavram
Parallel Lines and Consecutive Interior Angles