Find the value of x in each of the following diagrams-

Question

Toppr Admin · Accepted Answer

In the given figure-angle D - 45-circ- -Alternate angles-Now in triangle -ABC-80-circ - x - 21 - 180-circ- -Sum of angles of a triangle-Rightarrow 80-circ- x - 45-circ - 180-circ-Rightarrow x-160- 125-circ- 180-circ-Rightarrow-160-x - 180-circ- 125-circ-55-circ-

Find the value of x in each of the following diagrams:

In the given figure,
$$\angle D = 45^\circ$$ (Alternate angles)
Now in triangle $$ABC$$,
$$80^\circ + x + 21 = 180^\circ$$ (Sum of angles of a triangle)
$$\Rightarrow 80^\circ+ x + 45^\circ = 180^\circ$$
$$\Rightarrow x + 125^\circ= 180^\circ$$
$$\Rightarrow x = 180^\circ- 125^\circ=55^\circ$$

Find the value of x in each of the following diagrams:

In the given figure,$$\angle D = 45^\circ$$ (Alternate angles)Now in triangle $$ABC$$,$$80^\circ + x + 21 = 180^\circ$$ (Sum of angles of a triangle)$$\Rightarrow 80^\circ+ x + 45^\circ = 180^\circ$$$$\Rightarrow x + 125^\circ= 180^\circ$$$$\Rightarrow x = 180^\circ- 125^\circ=55^\circ$$

In the given figure,
$$\angle D = 45^\circ$$ (Alternate angles)
Now in triangle $$ABC$$,
$$80^\circ + x + 21 = 180^\circ$$ (Sum of angles of a triangle)
$$\Rightarrow 80^\circ+ x + 45^\circ = 180^\circ$$
$$\Rightarrow x + 125^\circ= 180^\circ$$
$$\Rightarrow x = 180^\circ- 125^\circ=55^\circ$$