Question

find the value of x in given figure a =45 degree b=x c=105 degree​

Answer 1

Answer:- The value of x in this question is, i.e., angle b = 30 degree

Solution of the question is as follows:-

Given:-

angle a = 45 degree

angle c = 105 degree

and angle b = x degree

We need to find the value of x, i.e., we need to find the value of angle b

Suppose ABC is a triangle in which angle A = 45 degree and angle B = 105 degree, we need to find angle B =?

We know that sum of all angles of a triangle = 180 degree

Therefore,

According to question,

angle A + angle B + angle C = 180 degree

45° + 105° + angle B = 180°

                     150° + angle B = 180°

                                            angle B = 180° - 150°

                                             angle B = 30°

Therefore,

The answer to this question is 30 degrees

Angle B = 30 degree

To find any angle in a triangle or in a straight line, we just need to add the given two angles in the question and subtract it from 180 degree.

You will get the answer. As sum of all angles of a triangle and as well as of a straight line is always equals to 180 degrees.

Straight angle = 180 degrees

Complete angle = 360 degrees

To know more about the given topic please go through the following links provided

Link1:- https://brainly.in/question/12528767?

Link2:- https://brainly.in/question/31190261?

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