Answer:
m<LMN = 167°
Step-by-step explanation:
Given:
m<LMT = 23°
m<TMN = 144°
Required:
m<LMN
SOLUTION:
m<LMN = m<LMT + m<TMN (angle addition postulate)
m<LMN = 23° + 144° (Substitution)
m<LMN = 167°
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
A triangle a square and a rectangle
Answer:
256
Step-by-step explanation:
h=4
g=32
(4)2(32)=256
