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Use the Triangle Exterior Angle Theorem.
x^(∘)=150^(∘)
We want to find the missing angle of the given triangle. In order to do so, we will use the Triangle Exterior Angle Theorem.
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Triangle Exterior Angle Theorem |
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The measure of an exterior angle is equal to the sum of its two remote interior angles. |
m∠ 1=m∠ 2+m∠ 3 Now, let's apply this theorem to the given triangle.
The sum of the measures of the two remote angles, 85^(∘) and 65^(∘), will give us the measure of x^(∘). x^(∘)=85^(∘)+65^(∘) ⇒ x^(∘)=150^(∘)