Question

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The sum of three interior angles of a triangle is 180°. Suppose one angle is 110° and the remaining two angles are the same measure. Find the measures of the angles algebraicall
Let one of the unknown angle measures be x. Write an equation that can be used to solve this problem.
x+x+110=180 (Do not include the degree symbol in your answer.)
Each of the unknown angles measures 35

Answer 1

The unknown angle measures in the triangle are 35° each.

Step-by-step explanation:

In a triangle, the sum of the three interior angles is always 180°. Suppose the measure of one angle is 110° and the remaining two angles are the same. Let's represent the measure of these two angles with the variable x. The equation that can be used to solve for x is: x + x + 110 = 180.

Simplifying the equation, we get: 2x + 110 = 180. Solving for x, we subtract 110 from both sides: 2x = 70. Finally, divide both sides by 2: x = 35.

Therefore, each of the unknown angle measures is 35°.

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