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1 vote
If a triangle has two angles that measure 45 and 90 degrees, what is the measure of the third angle?

A. 90

B. 45°

C. 60

D. 30

User Zzaponka
by
8.2k points

2 Answers

4 votes

Let other angle be x

Using Angle sum property


\\ \sf\longmapsto x+45+90=180


\\ \sf\longmapsto x+135=180


\\ \sf\longmapsto x=180-135


\\ \sf\longmapsto x=45°

option B

User Stefanzweifel
by
7.7k points
4 votes

Problem:-

If a triangle has two angles that measure 45 and 90 degrees, what is the measure of the third angle?

Solution:-

Let the measure of the third angle be x.

We know that the sum of all interior angles of a triangle is 180°.

a + b + c = 180°

45 + 90 + x = 180

135 + x = 180

x = 180 - 135

x = 45

[ The value of x is 45° ]

Verification:-

∴ ∠a + ∠b + ∠c = 180°

45 + 90 + x = 180

45 + 90 + 45 = 180

90 + 90 = 180

180 = 180

Answer:-

The measurement of the third angle is 45° so option B. 45° will be the correct answer.

Hope it's helpful!

If a triangle has two angles that measure 45 and 90 degrees, what is the measure of-example-1
User CarpeNoctem
by
9.4k points

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