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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 3: Q. 213 (page 373)

The measures of two angles of a triangle are $105$ and $31$ degrees. Find the measure of the third angle.

Short Answer

Expert verified

Third angle is $44^{\circ}$

Step by step solution

Step 1. Given information

The measures of two angles of a triangle are $105$ and $31$ degrees.

Step 2. Third angle

Sum of angles of a triangle is $180$ degrees

Let the third angle be x,

According to the question,

$105 + 31 + x = 180 136 + x = 180 x = 180 - 136 x = 44$

Step 3. Verification

Verify the angle as,

$105 + 31 + 44 = 180 180 = 180$

LHS is equal to RHS

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The measures of two angles of a triangle are 105and31 degrees. Find the measure of the third angle.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Third angle

Step 3. Verification

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The measures of two angles of a triangle are $105$ and $31$ degrees. Find the measure of the third angle.