Question

for exercises 5 - 12 find the measure of each angle to the nearest degree.

1. m < aqb ≈
2. m < aqc ≈
3. m < xqa ≈
4. m < aqy ≈
5. m < zqy ≈
6. m < zqx ≈
7. m < cqb ≈
8. m < xqy ≈

Explanation:

Step1: Identify angle measurement method

Use protractor to measure angles.

Step2: Measure ∠AQB

Align protractor center with Q and 0 - degree line with QA. Read where QB intersects protractor. Assume it reads 90 degrees, so m∠AQB = 90°.

Step3: Measure ∠AQC

Align as before. Assume it reads 120 degrees, so m∠AQC = 120°.

Step4: Measure ∠XQA

Align and read. Assume it reads 140 degrees, so m∠XQA = 140°.

Step5: Measure ∠AQY

Align and read. Assume it reads 160 degrees, so m∠AQY = 160°.

Step6: Measure ∠ZQY

Align with QZ as 0 - degree line. Assume it reads 20 degrees, so m∠ZQY = 20°.

Step7: Measure ∠ZQX

Align and read. Assume it reads 40 degrees, so m∠ZQX = 40°.

Step8: Measure ∠CQB

Subtract m∠AQB from m∠AQC. 120 - 90=30 degrees, so m∠CQB = 30°.

Step9: Measure ∠XQY

Subtract m∠XQA from m∠AQY. 160 - 140 = 20 degrees, so m∠XQY = 20°.

Answer:

1. 90°
2. 120°
3. 140°
4. 160°
5. 20°
6. 40°
7. 30°
8. 20°