1 Answer

Crowlix · Answer 1 · 2019-02-11T04:25:53+0000

This is an isosceles triangle. The angles at the base are congruent (they have the same measures).

Look at the picture.

We know: The sum of the measures of angles in a triangle is equal 180°.

Therefore we have the equation:

2x-10+2x-10+3x+25=180 combine like terms

(2x+2x+3x)+(-10-10+25)=180

7x+5=180 subtract 5 from both sides

7x=175 divide both sides by 7

x=25

$m\angle A=2x-10\to m\angle A=2(25)-10=50-10=40\\\\m\angle C=m\angle A=40\\\\m\angle B=3x+25\to m\angle B=3(25)+25=75+25=100^o$

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