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Find the value of a and m∠ZWT if ZW is an altitude of △XYZ, m∠ZWT = 3a + 5, and T m∠TWY = 5a + 13.
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Find the value of a and m∠ZWT if ZW is an

altitude of △XYZ, m∠ZWT = 3a + 5, and T m∠TWY = 5a + 13.

Find the value of a and m∠ZWT if ZW is an altitude of △XYZ, m∠ZWT = 3a + 5, and T-example-1
User Jeni Vasileva
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1 Answer

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If ZW is an altitude of △XYZ, then m∠ZWY = 90°

3a + 5 + 5a + 13 = 90
8a + 18 = 90
8a = 72
a = 72/8
a = 9

m∠ZWT = 3a + 5 = 3*9 + 5 = 27 + 5 = 32°
User Vitalii Velikodnyi
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7.2k points
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