14) Find mzYIJ if mZHIY = 28°,MZYIJ = 139x + 1, and mZHIJ= 168x.%3D%3D

Answered: 14) Find mzYIJ if mZHIY = 28°, %3D…

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14) Find mzYIJ if mZHIY = 28°, %3D MZYIJ = 139x + 1, and mZHIJ= 168x. %3D Y

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter83: Location Of Points

Section: Chapter Questions

Problem 6A: Find the size of A to the nearest second?

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14) Find mzYIJ if mZHIY = 28°,
MZYIJ = 139x + 1, and mZHIJ= 168x.
%3D
%3D

Expert Solution

Step 1 : Analysis

Given :

$m ∠ H I Y = 28 ° m ∠ Y I J = 139 x + 1 m ∠ H I J = 168 x$

Step 2 : Simplification

From the given figure,

$\begin{array}{rcl} m ∠ H I J & = & m ∠ Y I J + m ∠ H I Y \\ 168 x & = & 139 x + 1 + 28 \\ 168 x - 139 x & = & 29 \\ 29 x & = & 29 \\ x & = & \frac{29}{29} \\ x & = & 1 \end{array}$

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