In triangle PQR, angle PRQ= 50°, PR=11, and PQ=9 a) Show that there are two possible measures of angle PQR. c) For each case, find: i) the measure of angle QPR, ii) the area of the triangle, iii) the perimeter of the triangle.

In triangle PQR, angle PRQ= 50°, PR=11, and PQ=9 a) Show that there are two possible measures of angle PQR. c) For each case, find: i) the measure of angle QPR, ii) the area of the triangle, iii) the perimeter of the triangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 4E: In pentagon ABCDE with BDE, find the measure of interior angle D.

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Question

In triangle PQR, angle PRQ= 50°, PR=11, and PQ=9

a) Show that there are two possible measures of angle PQR.

c) For each case, find: i) the measure of angle QPR, ii) the area of the triangle, iii) the perimeter of the triangle.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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