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Chapter 3: Q22 (page 98)

In 鈻�RST,m鈭�R=90and m鈭�s>20.What can you say about m鈭�T?

Short Answer

Expert verified

In 螖RST,m鈭�R=90and m鈭�S>20then m鈭�T<70.

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RST,

m鈭�R+m鈭�S+m鈭�T=180

But for m鈭�S>20,

m鈭�R+m鈭�S+m鈭�T<18090+20+m鈭�T<180

03

Step 3. Description of step.

Simplify the equation obtained in the step 2.

110+m鈭�T<180110+m鈭�T鈭�110<180鈭�110m鈭�T<70

Therefore, it can be said that m鈭�Tis less than 70.

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