4.GR.B.7: Explain that 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. Solve addition and subtraction problems to find unknown angles on a diagram in context (e.g., by using an equation with a symbol for the unknown angle measure).

Explain that 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. Solve addition and subtraction problems to find unknown angles on a diagram in context (e.g., by using an equation with a symbol for the unknown angle measure).

Example Problems

∠w

and

∠x

are supplementary angles.

∠w

measures

170\degree

.
What is the measure of

∠x

?

\\angle w

and

\\angle x

are supplementary angles.

\\angle w

measures

110^\\circ

. What is the measure of

\\angle x

?

\angle w

and

\angle x

are supplementary angles.

\angle w

measures

33°

.
What is the measure of

\angle x

?

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