Find the value of x. the diagram is not to scale.

we know that

An isosceles triangle is a triangle that has both two equal sides and two equal angles

In this problem

the triangle RST is an isosceles triangle

so

RS=ST

and

m∠SRT=m∠STR

m∠STR= --------> by supplementary angles

substitute in the formula above

therefore

the answer is

The value of is .

Further explanation:

An isosceles triangle is given in which sides RS and ST are equal, is given as and is given as .

The two sides RS and ST are equal then the two angles which are opposite to the equal sides are also equal.

Therefore, the angle and are equal.

Also the and angle are on the same line, therefore the summation of these two angle should be .  

It can be written in equation form as  

 .....(1)

The value of angle is given as .

Substitute for in equation (1) to obtain the value of in terms of as follows:

So the value of is .

Also it is given that the angle and are equal and the value of is given as .

Now equating these two values of and to obtain the value of as follows:

Therefore the value of is .

Learn more:

1. Problem on the pair of undefined terms that is used to define a ray:

2. Problem on abo the undefined term that is used to define an angle:

3. Learn more about the names of the three collinear points: https:

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Lines and Angles

Keywords: Angle, triangle, equal sides, equal angles, 5x-30, 180-5x, line, perpendicular, horizontal, angle SRT, equation, summation, angle STU, linear pair, isosceles triangle.

the answer is ! ?

answer: c. is your answer

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