example angle addition postulate
TRANSCRIPT
If m∠SRT = 70° and m∠URT = 30°, find m∠SRU.
If m∠SRU = 2x + 1 and m∠URT = x + 2, find m∠SRT.
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.
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.
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
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
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
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