Question

1. Two angles of triangle are 45° and 55º. Find the measure of third angle
C Short Answer Tvne Questions
30 x 3M=09 Marks​

Answer 1

Given :

• Two angles of traingle are 45° and 55°.

To Find :

• Measure of third angle.

Solution :

$\longmapsto\tt{Two\:angles=45\degree\:and\:55\degree}$

$\longmapsto\tt{Let\:third\:angle\:be=x}$

As we know that Sum of angles of a triangle are 180°...

$\longmapsto\tt{45\degree+55\degree+x=180\degree}$

$\longmapsto\tt{100\degree+x=180\degree}$

$\longmapsto\tt{x=180\degree-100\degree}$

$\longmapsto\tt\bold{x=80\degree}$

So , The measure of 3rd angle is 80°...

_______________________

VERIFICATION :

$\longmapsto\tt{45\degree+55\degree+x=180\degree}$

$\longmapsto\tt{45\degree+55\degree+80\degree=180\degree}$

$\longmapsto\tt\bold{180\degree=180\degree}$

HENCE VERIFIED

Answer 2

It is Given that,

One Angle is 45° and Other Angle is 55° In a Triangle.

We have to Find,

Third Angle.

So, We know that,

Sum Of All Angles In A Triangle = 180°.

So, Let the another angle be x.

The Equation Formed :-

45° + 55° + x° = 180°

⇢ 100° + x° = 180°

⇢ x° = 180 - 100

⇢ x = 80°

Hence, The Another/Third Angle = 80°.