example angle addition postulate

7
If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.

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Page 1: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU.

If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.

Page 2: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. We can use the Angle-Addition Postulate:

m∠SRT = m∠URT + m∠SRU

If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.

Page 3: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. We can use the Angle-Addition Postulate:

m∠SRT = m∠URT + m∠SRU 70° = 30° + m∠SRU

If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.

Substitute in the measures for each

angle we know.

Page 4: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. We can use the Angle-Addition Postulate:

m∠SRT = m∠URT + m∠SRU 70° = 30° + m∠SRU m∠SRU = 40°If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.

Subtract 30° from each side

Page 5: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. We can use the Angle-Addition Postulate:m∠SRT = m∠URT + m∠SRU 70° = 30° + m∠SRU m∠SRU = 40°If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.m∠SRT = m∠URT + m∠SRU

From the Angle-Addition Postulate

Page 6: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. We can use the Angle-Addition Postulate:m∠SRT = m∠URT + m∠SRU 70° = 30° + m∠SRU m∠SRU = 40°If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.m∠SRT = m∠URT + m∠SRU m∠SRT = x + 2 + 2x + 1

Substitute the given expressions for the

angle measures

Page 7: Example Angle Addition Postulate

If m∠SRT = 70° and m∠URT = 30°, find m∠SRU. We can use the Angle-Addition Postulate:m∠SRT = m∠URT + m∠SRU 70° = 30° + m∠SRU m∠SRU = 40°If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.m∠SRT = m∠URT + m∠SRU m∠SRT = x + 2 + 2x + 1 m∠SRT = 3x + 3 Simplify