**Problem:**Solve for the measure of the missing angle.**Diagram Analysis:**The given diagram is a four-sided polygon with the following angle measures:- The bottom left angle is a right angle (90°).- The bottom right angle is 70°.- The top left angle is expressed as \((3x + 12)°\).- The top right angle is expressed as \((4x - 10)°\).- The angle adjacent to the bottom right angle on the right side is expressed as \((3x - 2)°\).**Solution Outline:**To find the measure of the missing angle, follow these steps:1. Recognize that the sum of the angles in a quadrilateral is 360°.2. Set up an equation that represents the sum of the given angles equaling 360°.3. Solve for \(x\).4. Substitute the value of \(x\) back into the expressions for the angles to find their measures.5. Calculate the missing angle.**Step-by-Step Solution:**1. The sum of all angles in a quadrilateral is: \[ 90° + 70° + (3x + 12)° + (4x - 10)° = 360° \]2. Simplify and solve for \(x\): \[ 90 + 70 + 3x + 12 + 4x - 10 = 360 \] \[ 162 + 7x = 360 \] \[ 7x = 360 - 162 \] \[ 7x = 198 \] \[ x = 28.29 \]3. Substitute \(x = 28.29\) back into each angle expression: \[ (3x + 12)° = 3(28.29) + 12 = 84.87 + 12 = 96.87° \] \[ (4x - 10)° = 4(28.29) - 10 = 113.16 - 10 = 103.16° \] Therefore, the measure of the missing angle will be the remaining angle required to make the sum of all angles 360 degrees.4.

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Answered: Solve for the measure of the missing…

Solve for the measure of the missing angle. (3x + 12)° 90⁰ 70° (4x-10) (3x-2)° Missing Angle

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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