Question

find the value of x,y and z.

plz solve it guys plz plz plz plz

plz don't give irrevelent answers ​

Answer 1

• Value of x, y and z are 140°, 120° and 60° respectively.

Step-by-step explanation:

To find:-

• Value of x, y and z.

Solution:-

Let, Two more angles be ∠1 and ∠2 [As given in attachment]

Sum of all interior angles of triangle is equal to 180°. We also say this statement be 'Angle sum property of triangle'.

So,

$\leadsto$∠1 + 110° + 30° = 180°

$\leadsto$∠1 + 140° = 180°

$\leadsto$∠1 = 180° - 140°

$\leadsto$ ∠1 = 40°

Sum of all angles forms on straight line is equal to 180°. We also say this statement be 'Linear pair'.

So,

$\leadsto$∠1 + x = 180°

$\leadsto$ 40° + x = 180°

$\leadsto$ x = 180° - 40°

$\sf \leadsto \pink{\boxed{\sf \bold{x = 140\degree}}\star}$

By, Vertically opposite angles

• ∠2 = 30°

Now,

By Angle sum property :

$\leadsto$∠2 + 30° + y = 180°

$\leadsto$30° + 30° + y = 180°

$\leadsto$60° + y = 180°

$\leadsto$y = 180° - 60°

$\leadsto \red{\boxed{\sf \bold{y = 120\degree}}\star}$

$\leadsto$z + y = 180° [By Linear pair]

$\leadsto$z + 120° = 180°

$\leadsto$z = 180° - 120°

$\leadsto \purple{\boxed{\sf \bold{z = 60\degree}}\star}$

Answer 2

Answer:

To Find :-

Find the value of x, y and z

SoluTion :-

Firstly let's divide the figure into two triangle.

As we know that sum of all sides of triangle = 180⁰

Therefore

$\tt \leadsto \: 110 \degree+ 30 \degree + x = 180 \degree$

$\tt \leadsto 140 \degree + x = 180 \degree$

$\tt \leadsto \: x = 180 \degree - 140 \degree$

${\huge {\mapsto {\huge {\fbox {\green {x = 40}}}}}}$

Now,

By, Vertically opposite angles

• ∠2 = 30

Now

Lets find y

$\tt \leadsto \angle \: 2 + 30 + y = 180$

$\tt \leadsto \: 30 + 30 + y = 180$

$\tt \leadsto \: 60 + y = 180$

$\tt \leadsto \: y \: = 180 - 60$

${\huge {\mapsto {\huge {\fbox {\blue {y = 120}}}}}}$

Now,

Finding z

$\tt \leadsto z + y = 180° [By \: Linear \: pair]$

$\leadsto \tt \: z + 120 = 180$

$\tt \leadsto \: z \: = 180 - 120$

${\huge {\mapsto {\huge {\fbox {\red {z = 60}}}}}}$