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Ответ:
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
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.