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White raven [17]
2 years ago
15

First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.

Mathematics
1 answer:
amm18122 years ago
8 0

Answer:

Same-side interior angles

m∠ = 110°

Step-by-step explanation:

Step 1: Set up equation

6x + 16 + 13x - 7 = 180

Step 2: Combine like terms

19x + 9 = 180

Step 3: Isolate <em>x</em> and solve

19x = 171

x = 9

13(9) - 7 = 110°

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Find the degree measure of each angle in the triangle.
Alex777 [14]

Answer:

  • ∠R = 56°
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Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

  • 90°
  • (2x + 38)°
  • (5x - 11)°

Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

\longrightarrow 90° + (2x + 38)° + (5x - 11)° = 180°

\longrightarrow 117° + 7x = 180°

\longrightarrow 7x = 180° - 117°

\longrightarrow 7x = 63°

\longrightarrow x = 9

Angles =

\longrightarrow 2(9) + 38

\longrightarrow 56°

\longrightarrow 5(9) - 11

\longrightarrow 34°

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  • ∠Q = 90°
  • ∠S = 34°

The angles are 56°, 90° and 34°.

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