Let's solve for the unknown angles using the given information:
The sum of angles 21 and 22 is equal to the resulting angle:
m21 + m22 = 135
Substituting the given expressions for the measures of angles 21 and 22:
2x + 2x + 7 = 135
Combining like terms:
4x + 7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing both sides by 4:
x = 32
Now we can substitute this value of x back into the expressions for the angles:
m21 = 2x = 2(32) = 64 degrees
m22 = 2x + 7 = 2(32) + 7 = 64 + 7 = 71 degrees
Therefore, the two unknown angle measures are:
m21 = 64 degrees
m22 = 71 degrees
The correct choices are:
• 64
• 71
Two adjacent angles, 21 and 22, form a resulting angle that measures 135 ° If m21 = (2x) ° and m 2 = (2x + 7) what are the two unknown angle measures?
M<1 =
M<2 =
Choose two:
• 32
• 64
• 71
•158
1 answer