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Chapter 3: Q44. (page 115)

Every triangle has at least two_?_angles.

Short Answer

Expert verified

Every triangle has at least twoacute angles.

Step by step solution

01

Step 1. Find theorem or postulate that can be used.

The sum of all three angles of a triangle is equal to 180掳.

02

Step 2. Apply the theorem.

In a triangle, two angles simultaneously cannot be right angles or obtuse angles as in this case the sum of all three angles will be more than 180掳.

03

Step 3. Draw the conclusion.

So in a triangle utmost one angle can be right angle or obtuse angle. Therefore others two angles must be acute.

Hence, every triangle has at least two acute angles.

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Most popular questions from this chapter

The blue line is a transversal.

a. Name four pairs of corresponding angles.

b. Name two pairs of alternate interior angles.

c. Name two pairs of same-side interior angles.

d. Name two pairs of angles that could be called alternate exterior angles.

e.

Assume that a鈭�band c鈭�d.

If m鈭�7=x, then m鈭�12=?炉and m鈭�6=?炉

Find the values of xand y

Assume that a鈭�band c鈭�d.

If m鈭�13=110, then m鈭�15=?炉and m鈭�3=?炉

State the postulate or theorem that justifies each statement.

m鈭�4+m鈭�6=180
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