There were two parallel roads AM and XY in New Delhi. Due to increasing pollution, MCD planned to get planted trees on these roads. On the road AM, plants of Ashoka were planted by one company. While on the road X
mango trees were planted by another company.
Between these roads three streets St 1, St 2 and St 3 were situated. During the survey, ZBPQ was measured to be 70° and other angles p, q, r, s and t were also measured.
Now answer the following questions:
L. What is the measure of Zp?
a. 60
b. 70°
C. 160 d. 100
il What is the measure of q?
a. 60°
b. 70° c. 160°
d. 110
iii. What is the value of (p+q+t)/5?
a. 50
b. 70°
C 160
d. 100
iv. What is the measure of EsY?
a 60°
b. 140°
C. 70"
d. 110"
v. What is value of (4p -(q+r)-(r-s))?
a. 50°
b. 100"
c. 160"
d. 180"
Answers
(i) What is the measure of Zp?
a. 60
b. 70°
c. 160
d. 100
Answer :-
given that,
- ∠BPQ = 70°
so,
→ ∠BPQ = ∠PBA { Alternate interior angles. }
→ ∠p = 70° (b)
(ii) What is the measure of q?
a. 60°
b. 70°
c. 160°
d. 110
Answer :-
now,
→ ∠p + ∠PBC = 180° { Linear pair. }
so,
→ ∠PBC = 180° - 70° = 110°
then,
→ ∠q = ∠PBC = 110° { Corresponding angles. } (d) .
(iii) What is the value of (p+q+t)/5?
a. 50
b. 70°
c. 160
d. 100
Answer :-
→ ∠q + ∠t = 180° { Interior angles on same side of transversal.}
so,
→ (∠p + ∠q + ∠t) / 5
→ (70° + 180°)/5
→ 250°/5
→ 50° (a)
(iv) What is the measure of EsY?
a 60°
b. 140°
C. 70°
d. 110°
Answer :-
→ ∠ESY = ∠s = ∠p = 70° { corresponding angles.}
(v) What is value of (4p -(q+r)-(r-s))?
a. 50°
b. 100°
c. 160°
d. 180°
Answer :-
→ ∠r = ∠p = 70° { corresponding angles.}
putting values of all angles we get,
→ [4p -(q+r)-(r-s)]
→ [4*70° - (110°+70°) - (70° - 70°)]
→ 280° - 180° - 0°
→ 100° (b)
Learn more :-
In ABC, AD is angle bisector,
angle BAC = 111 and AB+BD=AC find the value of angle ACB=?
https://brainly.in/question/16655884
Answer:
1.b 70
2.d 110
3.a 50
4.c 70
5.b 100