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Question

The measures of two angles of a triangle are 72° and 58°. Find the measure of the third angle.

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Solution

The measures of two angles of a triangle are 72° and 58°.
Let the third angle be x.
Now, the sum of the measures of all the angles of a triangle is 180o​.
x + 72o + 58o = 180o
⇒ x + 130o = 180o
⇒ x = 180o- 130o
⇒ x = 50o
​The measure of the third angle of the triangle is 50o​.

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