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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 11 Page 394

Use the Triangle Angle-Sum Theorem.

70 ^(∘)

Practice makes perfect

Since we need to find m∠ 1, let's focus just on the corresponding part of the diagram.

Using the Triangle Angle-Sum Theorem we get the following equation. 75^(∘)+35^(∘) + m∠ 1 = 180^(∘) Now, let's solve the equation for m∠ 1.

75^(∘)+35^(∘) + m∠ 1 = 180 ^(∘)

Add terms

110^(∘) + m∠ 1 = 180 ^(∘)

LHS-110 ^(∘)=RHS-110 ^(∘)

m∠ 1 = 70 ^(∘)

Subchapter links

1 Angles of Triangles p.394

2 Congruent Triangles p.394

3 Proving Triangles Congruent-SSS, SAS p.395

4 Proving Triangles Congruent-ASA, AAS p.395

5 Isosceles and Equilateral Triangles p.396

6 Triangles and Coordinate Proof p.396