Question

Question 8
A) Angles a and b are supplementary angles. What is mza if m/b = 98°? (1 point)
8°
82°
98°
278°
Question 9
A) Two supplementary angles have measures mZQRS = 33° and m≤RST = (2x + 21)°. What is the equation to solve for x? (1 point)
(2x)° 54° 90°
=
(2x)°54° 180°
=
(2x)°+21° 90°
(2x)°+21° 180°

Answer 1

For Question 8:
Supplementary angles are two angles whose measures add up to 180°. Given that \( m/b = 98° \), we can infer that angle \( a = 98° \). Therefore, angle \( b \) would be:
\[
b = 180° - 98° = 82°.
\]
So the correct answer for the measure of angle \( a \) (mza) is 98°.

For Question 9:
The measures of two supplementary angles add up to 180°. Given \( mZQRS = 33° \) and \( mRST = (2x + 21)° \), the equation to solve for \( x \) can be written as:
\[
33° + (2x + 21)° = 180°.
\]
Thus, the correct option for the equation is:
\[
(2x)° + 21° = 180°.
\]

In conclusion:
- Question 8 answer: 98°
- Question 9 answer: \( (2x)° + 21° = 180° \)