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∠E and ∠F are vertical angles. If m∠E = 17p+1 and m∠F =20p-14, find m∠F. |
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Answer» The VERTICAL angles theorem STATES that vertical angles are CONGRUENT to each other. Since angles E and F are vertical angles, this MEANS you can make them equal to each other in an equation. m∠E = m∠F 17p + 1 = 20p - 14 Subtract 20p from both SIDES. -3p + 1 = -14 Subtract 1 from both sides. -3p = -15 Divide both sides by -3. p = 5 Substitute 5 for p in m∠F (20p - 14). 20(5) - 14 = 86 m∠F = 86° |
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