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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. 212 (page 373)

The measures of two angles of a triangle are $61$ and $84$ degrees. Find the measure of the third angle.

Short Answer

Expert verified

Third angle is $35^{\circ}$

Step by step solution

01

Step 1. given information

The measures of two angles of a triangle are $61$ and $84$ degrees.

02

Step 2. Third angle

Sum of angles of a triangle is $180^{\circ}$

Let the third angle be x,

$61 + 84 + x = 180 145 + x = 180 x = 180 - 145 x = 35$

03

Step 3. Verification

Verify the angle as,

$61 + 84 + 35 = 180 180 = 180$

LHS is equal to RHS

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