David drew triangle PQR as shown.
.A triangle is shown with point Q at the lower left, point P at the top and point R to the upper right. Angle P measures 135 degrees.
If ∠QPR measures 135°, which statement is true for ∠PQR and ∠PRQ?
A. ∠PQR and ∠PRQ are right angles.
B. ∠PQR and ∠PRQ are obtuse angles.
C. The sum of the measures of ∠PQR and ∠PRQ is 45°.
D. The sum of the measures of ∠PQR and ∠PRQ is 135°.
IM SUPPOSED TO DO A TEST HELP!!!!!!!!
These are the correct answers to the Lesson 13, Unit 1, 7th grade geometry test.
1. The sum of the measures of (angle) POR and (angle) PRO is 45 degrees
2. The complementary angle is 48.6 and the supplementary angle is 138.6
3. m (angle) EGB + m (angle) BGF = 180 degrees
4. 56 ft
5. D is the midpoint of LM
6. Square
7. 16, 16, 18
8. Possible angle measures of the triangle are 92, 48, and 40
9. 47 degrees
10. x = 80 degrees; y = 140 degrees; z = 20 degrees
11. quadrilateral; irregular
12. parallelogram
13. OT, OU, OR
14. (angle) X; (angle) Y
15. RS
16. obtuse
17. $390.00
18. 43 degrees
19. 30 degrees
20. own answer
21. own answer
22. own answer
23. own answer
Hope this helped - Sid the Science Kid
well, the sum of angles P+Q+R = 180°, right?
P + (Q+R) = 180.
135 + (Q+R) = 180,
(Q+R) =
anyone
To determine which statement is true for ∠PQR and ∠PRQ, we can use the fact that the sum of the measures of the angles in any triangle is always 180 degrees.
Given that ∠PQR measures 135°, we know that ∠QPR also measures 135°. Now, we can subtract the sum of the measures of ∠PQR and ∠QPR from 180 degrees to find the measure of ∠PRQ.
180° - (135° + 135°) = 180° - 270° = -90°
Since the measure of an angle cannot be negative, we can conclude that ∠PRQ does not have a measure of -90°.
This means that statement A (∠PQR and ∠PRQ are right angles) is not true because a right angle is 90 degrees.
Similarly, statement B (∠PQR and ∠PRQ are obtuse angles) is not true as well.
Statement C (The sum of the measures of ∠PQR and ∠PRQ is 45°) is also not true as we found that the measure of ∠PRQ is -90°, and the sum of -90° and ∠PQR cannot be 45°.
Therefore, the only remaining option is statement D (The sum of the measures of ∠PQR and ∠PRQ is 135°), which is indeed true based on our calculations.