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The measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?


a.One of the other angles must be a right angle.

b.The sum of the measures of the other two angles is 135°.

c.The other two angles must be acute angles.

d.One of the other angles must have a measure greater than 90°.

Verified Answer :

The answer is B hope this helps :)

Answer:

b.The sum of the measures of the other two angles is 135°.

Step-by-step explanation:

Given : The measure of one interior angle of a triangle is 45°.

To find  :  What can you conclude about the other two interior angles of the triangle?

Solution : We have given that one interior angle of a triangle is 45°.

As we know that sum of all angle of a triangle is 180°.

Then we can say other angle may be acute or obtuse or right angle .

Since option a , c , d are wrong .

But , By angle sum property we can say sum of other two angles is 135.

Because 135 + 45 = 180

Therefore, b.The sum of the measures of the other two angles is 135°.

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