Find the measures of ∠B and ∠C. PLEASE HELP!!

Mathematics

1 answer:

BartSMP [9]4 years ago

8 0

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5 <em>subtract 10 from both sides</em>

2x = 3x - 15 <em>subtract 3x from both sides</em>

-x = -15 <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>

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