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A triangle has two angles with equal

measures and one angle with a measur
of 70°. What is the measure of the othe
two angles?

User Pjmil
by
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1 Answer

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Final answer:

The measure of the other two angles in a triangle with two angles of equal measure and one angle of 70° is 55° each.


Step-by-step explanation:

In a triangle, the sum of the measures of the three angles is always 180°.

Let's denote the measure of the two angles with equal measures as x.

Therefore, we can set up the equation x + x + 70° = 180°.

By combining like terms, we have 2x + 70° = 180°.

Subtracting 70° from both sides of the equation, we get 2x = 110°.

Dividing both sides of the equation by 2, we find x = 55°.

So, the measure of the other two angles is 55° each.


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