To determine which statement is true about the angles, let's review the concepts:
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Complementary angles are two angles that add up to 90°. Therefore, they cannot be true in this case since if angle 1 is 110°, angle 3 cannot be 70° (100° + 70° ≠ 90°).
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Adjacent angles are angles that share a common side and vertex. There is no information that they have the same measure simply by being adjacent.
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Supplementary angles are two angles that add up to 180°. So, if angle 1 is 110°, angle 3 would be 70° since 110° + 70° = 180°.
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Vertical angles are opposite angles formed by two intersecting lines and are equal in measure. The statement that angle 3 is also 110° would only hold true if angle 3 were the vertical angle opposite angle 1.
Given this, the true statement is:
If angle 1 is 110°, then angle 3 is 70° because they are supplementary angles.
1 answer