
Find the value of x in the following triangle.

Answer
429.4k+ views
Hint: In question it is given that we have a triangle named with angle measure , and and we have to calculate measure of that is value of x which we can do easily with property of triangle known as interior sum of triangle is equals to .
Complete step-by-step answer:
ow, from figure we can see that in triangle , , and
Also , so triangle is a scalene triangle because which conclude sides .
There is a triangle property of triangles which is known as interior angle sum property. interior angle sum property states that if we have a triangle say , does not matter it is equilateral triangle, isosceles triangle or scalene triangle, the sum of all three interior angles namely , and is always equals to that is
Now, for the figure given in question we have a triangle named with angle measure , and and we have to calculate measure of that is value of x .
So, using the property of interior angle sum property in triangle , we get
……. ( i )
Substituting values of which are given in figure as , and in equation ( i ), we get
,
On simplifying , we get
,
Shifting from left hand side to right hand side , we get
Subtracting from , we get
So, the measure of angle is equals to by interior angle sum property .
Note: While solving the numerical based on angles of triangle, or any other polygon, one must know the sum of interior angles or that polygon. In the calculation part, we should be careful that there must not be any calculation error as it may change the answer .
Complete step-by-step answer:
ow, from figure we can see that in triangle
Also ,
There is a triangle property of triangles which is known as interior angle sum property. interior angle sum property states that if we have a triangle say
Now, for the figure given in question we have a triangle named
So, using the property of interior angle sum property in triangle
Substituting values of which are given in figure as
On simplifying , we get
Shifting
Subtracting
So, the measure of angle
Note: While solving the numerical based on angles of triangle, or any other polygon, one must know the sum of interior angles or that polygon. In the calculation part, we should be careful that there must not be any calculation error as it may change the answer .
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