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Chapter 3: Q21 (page 98)

In 鈭�ABC,m鈭�A=60and m鈭�B<60. What can you say about m鈭�C?

Short Answer

Expert verified

In 螖ABC,m鈭�A=60and m鈭�B<60then m鈭�C>60.

Step by step solution

01

Step 1. Apply an angle sum theorem.

The sum of measures of all interior angles of a triangle is 180掳.

02

Step 2. Description of step.

In 螖ABC,

m鈭�A+m鈭�B+m鈭�C=180

But for m鈭�B<60,

m鈭�A+m鈭�B+m鈭�C>18060+60+m鈭�C>180

03

Step 3. Description of step.

Simplify the equation obtained in the step 2.

120+m鈭�C>180120+m鈭�C鈭�120>180鈭�120m鈭�C>60

Therefore, it can be said that m鈭�Cis greater than 60.

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