Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts the angle measure of the whole is the sum of the angle measures of the parts.

Sample Practice Questions (3)

Angle JKL is composed of three non-overlapping angles: angle JKM, angle MKN, and angle NKL. If

m ∠ J K M = 2 5^{c i r c}

m ∠ M K N = 3 0^{c i r c}

, and

m ∠ N K L = 4 5^{c i r c}

, what is the measure of angle JKL?

9 0^{\circ}

10 0^{\circ}

10 5^{\circ}

18 0^{\circ}

Angle EFG is divided into two non-overlapping angles, angle EFH and angle HFG. Which equation correctly shows the relationship between these angles?

m ∠ E F H + m ∠ H F G = m ∠ E F G

m ∠ E F G - m ∠ E F H = m ∠ H F G

m ∠ E F H \times m ∠ H F G = m ∠ E F G

m ∠ E F G + m ∠ E F H = m ∠ H F G

Angle

X Y Z

measures

10 5^{\circ}

. Ray

Y W

decomposes the angle into two non-overlapping parts. If angle

X Y W

measures

4 5^{\circ}

, what is the measure of angle

W Y Z

5 0^{\circ}

6 0^{\circ}

7 0^{\circ}

15 0^{\circ}

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