Math, asked by simranraj9650, 2 months ago

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"​

Attachments:

Answers

Answered by RvChaudharY50
23

(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

Attachments:
Answered by bnagarani80
7

Answer:

1.b 70

2.d 110

3.a 50

4.c 70

5.b 100

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