AMIEMINAHBABYGO
Answered

if the measure of one angle of an isosceles trapezoid is x°and the angle opposite it is (x+20)°, what is the measure of the smaller angle? ​

Sagot :

KANTOINEDOIXGO

✒️TRAPEZOID

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \LARGE \:\: \rm 80 \: degrees [/tex]

*Please read and understand my solution. Don't just rely on my direct answer*

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

In an isosceles trapezoid, the opposite angles are supplementary. We can say that:

  • [tex] x\degree + (x+20)\degree = 180\degree [/tex]

The smallest angle would be x. Solve for x.

  • [tex] x + x + 20 = 180 [/tex]

  • [tex] x + x = 180 - 20 [/tex]

  • [tex] 2x = 160 [/tex]

  • [tex] \frac{2x}2 = \frac{160}2 \\ [/tex]

  • [tex] x = 80 [/tex]

Therefore, the measure of the smaller angle in the isosceles trapezoid is 80°

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(ノ^_^)ノ [tex] \large\qquad\qquad\qquad\tt 3 /5 /2022 [/tex]

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