Two adjacent angles, ∠1

Question

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=
°

Answer 1

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°

Answer 2

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)

Answer 3

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°.