A base angle of the isosceles triangle is represented by 3x+7 and the vertex by 12x+22. What are the angle measures

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asked Mar 10, 2019 175k views

1 Answer

Dylan Valade · Answer 1 · 2019-03-14T00:48:56+0000

ANSWER

$31 \degree,31 \degree,118 \degree$

Step-by-step explanation

The given triangle is isosceles, with interior angles,

(3x + 7),(3x + 7),(12x + 22)

The sum of the interior angles is 180°

(3x + 7) + (3x + 7) + (12x + 22) = 180

Group like terms

3x + 3x + 12x = 180 - 7 - 7 - 22

Simplify;

Divide through by 18 to get,

x = 8

The angles are,

(3 * 8+ 7),(3 * 8+ 7),(12 * 8 + 22)

$31 \degree,31 \degree,118 \degree$

A base angle of the isosceles triangle is represented by 3x+7 and the vertex by 12x+22. What are the angle measures

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