Math Problem Statement

Use the diagram and the given angle measures to find the indicated angle measure.

Solution

Let's go through each of the problems in the image step by step.

Problem 18:

Given:

  • m∠PQT=51.5∘m \angle PQT = 51.5^\circ
  • m∠TQR=48∘m \angle TQR = 48^\circ

We need to find m∠PQRm \angle PQR.

From the diagram, ∠PQT\angle PQT is the sum of ∠PQR\angle PQR and ( \angle T

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Math Problem Analysis

Mathematical Concepts

Angle Measurement
Geometry
Supplementary Angles
Complementary Angles

Formulas

Supplementary angles sum to 180°
Complementary angles sum to 90°

Theorems

Angle Addition Postulate

Suitable Grade Level

Grades 7-9

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