Can someone please explain?

Mathematics

1 answer:

geniusboy [140]2 years ago

6 0

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:

$2x-10+2x-10+3x+25=180$ <em>combine like terms</em>

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

$7x+5=180$ <em>subtract 5 from both sides</em>

$7x=175$ <em>divide both sides by 7</em>

$x=25$

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

<h3>Answer: D. m∠C = 40</h3>

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