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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

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Exercise 2 Page 473

Use the Triangle Exterior Angle Theorem.

x^(∘) ≈ 9.7^(∘)

Practice makes perfect

We want to find the missing angle of the given triangle. In order to do so, we will use the Triangle Exterior Angle Theorem.

The measure of an exterior angle is equal to the sum of its two remote interior angles.

Let's visualize the theorem in a graph.

m∠ 1=m∠ 2+m∠ 3 Now, let's apply this theorem to the given triangle.

The sum of two interior angles is equal to the exterior angle.

4x^(∘)=29^(∘)+x^(∘)

LHS-x^(∘)=RHS-x^(∘)

3x^(∘)=29^(∘)

.LHS /3.=.RHS /3.

x^(∘) ≈ 9.7^(∘)

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