To find the value of x, we can set up the equation:
m∠1 + m∠2 = 135°
(2x)° + (2x + 7)° = 135°
Combine like terms:
4x + 7 = 135
Subtract 7 from both sides:
4x = 128
Divide both sides by 4:
x = 32
Now we know that x = 32. Plug this value back into the expressions for m∠1 and m∠2:
m∠1 = (2 * 32)° = 64°
m∠2 = (2 * 32 + 7)° = 71°
Therefore, m∠1 = 64° and m∠2 = 71°.
two adjacent angles, 1∠ and 2∠, form a resulting angle with measure 135°. If m∠1 = (2x)° and m∠2 = (2x + 7)° , what are the two unknown angles measures?
m∠1 = __° , m∠2 = __°
1 answer