Question

find the value of x°,y°and z°​

Answer 1

Answer

To find the answer of this question, we use a concept. The concept used is the 'straight line angle' property. This can be used to find all the angles of this question. So, let's find out each of this angle one by one.

Value of ∠x :

$\sf \dashrightarrow Straight \: line \: angle = {180}^{\circ}$

$\sf \dashrightarrow {40}^{\circ} + \angle{x} = {180}^{\circ}$

$\sf \dashrightarrow \angle{x} = 180 - 40$

$\sf \dashrightarrow \angle{x} = {140}^{\circ}$

Value of ∠y :

$\sf \dashrightarrow Straight \: line \: angle = {180}^{\circ}$

$\sf \dashrightarrow {140}^{\circ} + \angle{y} = {180}^{\circ}$

$\sf \dashrightarrow \angle{x} = 180 - 140$

$\sf \dashrightarrow \angle{y} = {40}^{\circ}$

Value of ∠z :

$\sf \dashrightarrow Straight \: line \: angle = {180}^{\circ}$

$\sf \dashrightarrow {40}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \dashrightarrow \angle{z} = 180 - 40$

$\sf \dashrightarrow \angle{z} = {140}^{\circ}$

We can also find the values of y and z by other concept known as the 'vertically oppsite angle'.

∠y = 40° (vertically opposite to 40°)

∠z = 140° (vertically opposite to 140°)

Hence, the values of angles x, y and z are 140°, 40° and 140° respectively.