NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 89 - 89 of 2000

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Question number: 89

» Mathematics » Triangles

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Question

In the figure given below, find .

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through F and GArc eArc e: Semicircle through H and IArc hArc h: Semicircle through J and KArc kArc k: Semicircle through L and MArc pArc p: Semicircle through N and OSegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [A, D] Segment gSegment g: Segment [B, E] Segment iSegment i: Segment [P, Q] Segment jSegment j: Segment [R, S] Segment i_1Segment i_1: Segment [P_1, Q_1] Segment j_1Segment j_1: Segment [R_1, S_1] Point AA = (9.24,3.48) Point AA = (9.24,3.48) Point AA = (9.24,3.48) Point BB = (8.22,0.4) Point BB = (8.22,0.4) Point BB = (8.22,0.4) Point CC = (13.34,0.36) Point CC = (13.34,0.36) Point CC = (13.34,0.36) Point DPoint D: Point on aPoint DPoint D: Point on aPoint DPoint D: Point on aPoint EE = (6,0.4) Point EE = (6,0.4) Point EE = (6,0.4) yâ°text1 = “yâ°”zâ°text1_1 = “zâ°”xâ°text1_2 = “xâ°”20â°text1_3 = “20â°”yâ°text1_4 = “yâ°”110â°text1_5 = “110â°”

Image of a Triangle ABC with a Bisector AD and Exterior Angle 110

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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