The two triangles below are similar.Also, m LB=15° and mLC=50° as shown below.Find mLP, mLQ, and mL R.Assume the triangles are accurately drawn.5015m ZP =m 2Qm ZR =

Answered: The two triangles below are similar.…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 44E: In square ABCD not shown, point E lies on side DC. If AB=8 and AE=10, find BE.

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The two triangles below are similar.
Also, m LB=15° and mLC=50° as shown below.
Find mLP, mLQ, and mL R.
Assume the triangles are accurately drawn.
50
15
m ZP =
m 2Q
m ZR =

Expert Solution

Step 1

To find:

The value of $∠ P$ , $∠ Q$ and $∠ R$ .

Given:

The triangles $A B C$ and $P Q R$ are similar and $∠ B = 15 °$ and $∠ C = 50 °$ .

Concept used:

If two triangles $A B C$ and $P R Q$ are similar then $∠ A = ∠ P, ∠ B = ∠ R$ and $∠ C = ∠ Q$ .

Angle sum property:

Sum of all the angles of triangle $A B C$ is $180 °$ .

$∠ A + ∠ B + ∠ C = 180 °$ …(1)

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The two triangles below are similar. Also, mLB=15° and mLC=50° as shown below. Find mLP, mLQ, and m LR. Assume the triangles are accurately drawn. C 50 13 m ZP = ? m 2Q = %3D m ZR = P. B.