Question

Find x and y in the following figure

Answer 1

Answer:

Here as y is opposite angle

Hence,

$\qquad\quad\displaystyle\sf {:}\longrightarrow \angle y=90°$

Now As we know that in a triangle

$\boxed{\sf The\:sum\:of\:angles=180°}$

$\qquad\quad\displaystyle\sf {:}\longrightarrow y+x+x=180°$

$\qquad\quad\displaystyle\sf {:}\longrightarrow 2x+90°=180°$

$\qquad\quad\displaystyle\sf {:}\longrightarrow 2x=180-90$

$\qquad\quad\displaystyle\sf {:}\longrightarrow 2x=90°$

$\qquad\quad\displaystyle\sf {:}\longrightarrow x=\dfrac {90}{2}$

$\qquad\quad\displaystyle\sf {:}\longrightarrow x=45°$

$\\\therefore\sf \angle y=90°,\angle x=45°.$

Answer 2

Given :

• In the figure.

To find :

• The value of x and y

Solution :

Since,

• Vertically opposite angles

∴ y = 90°

∴ y + x + x = 180 [As, the sum of the angles of a triangle is 180°]

→ 90 + 2x = 180

→ 2x = 90

→ x = 90/2

→ x = 45

Answer :

• The value of x is 45° and the value of y is 90°

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