NSTSE (National Science Talent Search Exam- Unified Council) Class 8: Questions 148 - 148 of 2028

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Question number: 148

» Mathematics » Understanding Quadrilaterals

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Question

In the figure given below, ABF is a straight line.

Pentagon poly1 Pentagon poly1: Polygon A, B, C, D, E Arc g Arc g: Semicircle through G and H Arc h Arc h: Semicircle through I and J Arc k Arc k: Semicircle through K and L Arc p Arc p: Semicircle through M and N Segment a Segment a: Segment [A, B] of Pentagon poly1 Segment b Segment b: Segment [B, C] of Pentagon poly1 Segment c Segment c: Segment [C, D] of Pentagon poly1 Segment d Segment d: Segment [D, E] of Pentagon poly1 Segment e Segment e: Segment [E, A] of Pentagon poly1 Segment f Segment f: Segment [B, F] Segment i Segment i: Segment [O, P] Segment j Segment j: Segment [P, Q] Point A A = (5.3, -1.16) Point A A = (5.3, -1.16) Point A A = (5.3, -1.16) Point B B = (3.76, -2.22) Point B B = (3.76, -2.22) Point B B = (3.76, -2.22) Point C C = (2.34, -1.16) Point C C = (2.34, -1.16) Point C C = (2.34, -1.16) Point D D = (2.32,1.52) Point D D = (2.32,1.52) Point D D = (2.32,1.52) Point E E = (5.28,1.48) Point E E = (5.28,1.48) Point E E = (5.28,1.48) Point F F = (2.18, -3.26) Point F F = (2.18, -3.26) Point F F = (2.18, -3.26) 80â° text1 = “80â°” 140â° text1_1 = “140â°” 120â° text1_2 = “120â°” X text1_3 = “X”

Image of a Pentagon with Some Given Angles

Showing the image of a pentagon with some given angles

What is the value of x?

Choices

Choice (4) Response

a.

b.

c.

d.

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