Question

There are angles whose measures

add to . Their measures are:
,
, and
. What is the measure
of ? (1 point)
180°
m∠A = 67°
m∠B = (2x + 20) °
m∠C = x°
∠B
62°
180°
82°
31°

Answer 1

[AI-generated answer — Bot GPT 3.5]

Based on the given information, we know that the measures of angles A, B, and C add up to some unknown value. However, the measures of angles A and C are not specified, so we cannot determine the exact value of angle B based on the given information alone. Therefore, the measure of angle B cannot be determined with certainty.

Answer 2

If there are two supplementary

angles, and , where
and
, and is a
vertical angle with , what is the
measure of ?
(1 point)
∠D ∠E
m∠D = (4x + 8) °
m∠E = (x + 17) ° ∠F
∠D
∠F
48°
124°
132°
31°

Answer 3

[AI-generated answer — Bot GPT 3.5]

If angles D and E are supplementary, then the sum of their measures is 180 degrees. We are given that m∠D = (4x + 8) ° and m∠E = (x + 17) °.

Setting up an equation, we have:
(4x + 8) + (x + 17) = 180
Combining like terms, we get:
5x + 25 = 180
Subtracting 25 from both sides gives us:
5x = 155
Dividing both sides by 5, we get:
x = 31
Now we can find the measure of angle D:
m∠D = (4x + 8) ° = (4(31) + 8) ° = 132°
So, the measure of angle D is 132°.