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 angle measures?(1 point)
m∠1=
°, m∠2=
°
m∠1 = 2x°
m∠2 = (2x+7)°
Given that the resulting angle has measure 135°, we have the equation:
m∠1 + m∠2 = 135°
Substituting the given values, we have:
2x° + (2x+7)° = 135°
Combining like terms:
4x+7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing both sides by 4:
x = 32
Therefore,
m∠1 = 2(32)° = 64°
m∠2 = 2(32)+7° = 71°
So, the two unknown angle measures are:
m∠1 = 64°
m∠2 = 71°
A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39° , what is the other angle measure?(1 point)
The sum of two complementary angles is 90°.
If one of the angles has a measure of 39°, then the other angle can be found by subtracting 39° from 90°:
90° - 39° = 51°
Therefore, the other angle has a measure of 51°.