![]() A triangle has one interior angle that has a measure 45°, another interior angle that has measure x°, and an exterior angle that has measure 85°, as shown in the diagram. What is the value of x? The adjacent angle to 85° is equal to 95°, since angles on a straight line add up to 180°.
Therefore, the interior angles of the triangle would be: 45°, 95°, and x° 45 + 95 + x = 180 {angles of a triangle add up to 180} 140 + x = 180 {combined like terms} x = 40° {subtracted 140 from each side} - Algebra House
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