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Find the value of x. Then classify the triangle by its angle measures.

Short Answer

Expert verified

The value of x isx=65°, and the triangle is a scalene right-angled triangle.

Step by step solution

01

Step 1. Given Information.

One angle of the triangle is25°.

Second angle is given asx°.

Third angle is given asx+25°.

02

Step 2. Formula.

Sum of all angles of a triangle is180°.

03

Step 3. Calculation.

The sum of all the angles of a triangle is180°.

This gives us,

x+x+25+25=180°

Add both x and both numbers together.

2x+50=180°

Subtract 50 from both the sides.

2x+50-50=180-50°

This gives us,

2x=130°

Now, divide both sides by 2.

2x°2=130°2

This will give us the value of x.

x=65°

Second side of the angle of the triangle is given as x°which is65°.

Third side of the angle of the triangle is given asx+25°.

Now add 65°to it.

This gives us the value as,

65+25=90°

04

Step 4. Conclusion.

The value of x isx=65°.

Since one angle of the triangle is 90°and the other two angles are 25°and 65°respectively.

Hence, it is a scalene right-angled triangle.

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