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Find the measure of the angle

Find the measure of the angle-example-1
User Physicsboy
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1 Answer

20 votes
20 votes

Answer:

27

Explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3 (Subtract 3t from both sides)

2t = 16 (Add 13 to both sides)

t = 8 (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

5(8) - 13

40 - 13

27

So, the measure of angle X is 27

User UnTraDe
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3.5k points