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Finding Unknown Angles

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Add the measurements of the two small angles to find the measurement of the large angle for each problem.

two adjacent angles

If angle GHK = 125°, what is the measure of angle GHJ?

 90 ° + n

-90 
 = 125°

 -90
n  = 35 °

two adjacent angles

If angle ABC = 52°, what is the measure of angle ABD?

 30 ° + n

-30 
 = 52 °

 -30
n  = 22 °

If angle PDQ = 23°, and angle SDQ = 11°, what is the measure of angle PDS?

=   12°  

If angle XYZ = 91 °, and angle XYV = 48 °, what is the measure of angle VYZ?

=   43°  

If angle LMN = 84 °, and angle LMP = 49 °, what is the measure of angle NMP?

=   35°  

If angle TUV = 35 °, and angle TUW = 14°, what is the measure of angle VUW?

=   21°  

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Related Resources

The various resources listed below are aligned to the same standard, (4MD07) taken from the CCSM (Common Core Standards For Mathematics) as the GeometryWorksheet shown above.

Recognize angle measure as additive. When an angle is decomposed into non-overlapping ...

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Worksheets

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Geometric measurement: understand concepts of angle and measure angles