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 poly1Pentagon poly1: Polygon A, B, C, D, EArc gArc g: Semicircle through G and HArc hArc h: Semicircle through I and JArc kArc k: Semicircle through K and LArc pArc p: Semicircle through M and NSegment aSegment a: Segment [A, B] of Pentagon poly1Segment bSegment b: Segment [B, C] of Pentagon poly1Segment cSegment c: Segment [C, D] of Pentagon poly1Segment dSegment d: Segment [D, E] of Pentagon poly1Segment eSegment e: Segment [E, A] of Pentagon poly1Segment fSegment f: Segment [B, F] Segment iSegment i: Segment [O, P] Segment jSegment j: Segment [P, Q] Point AA = (5.3, -1.16) Point AA = (5.3, -1.16) Point AA = (5.3, -1.16) Point BB = (3.76, -2.22) Point BB = (3.76, -2.22) Point BB = (3.76, -2.22) Point CC = (2.34, -1.16) Point CC = (2.34, -1.16) Point CC = (2.34, -1.16) Point DD = (2.32,1.52) Point DD = (2.32,1.52) Point DD = (2.32,1.52) Point EE = (5.28,1.48) Point EE = (5.28,1.48) Point EE = (5.28,1.48) Point FF = (2.18, -3.26) Point FF = (2.18, -3.26) Point FF = (2.18, -3.26) 80â°text1 = “80â°”140â°text1_1 = “140â°”120â°text1_2 = “120â°”Xtext1_3 = “X”

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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