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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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An Angles Worksheets - By HelpingWithMath.com

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 Geometry Worksheet shown above.

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. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

Examples/ Guidance

Lines and Angles

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

 

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