Question

Please please answer this question please please answer this please please please fast

Answer 1

Given:

• A triangle is given to us.
• The one of the angles of the ∆ is 43°.
• The exterior angle of ∆ is 126°.

To Find:

• The Value of unknown variable x .

Concept Used:

• Here we will make use of the 'Exterior Angle Property'.

Answer:

We have been given a ∆ in which one angle is 43°.

And a exterior angle opposite to angle 43° is 126°.

So,By Exterior Angle Property ,

$\red{\boxed{\blue{\sf{Sum\:of\:two\: interior\: opposite\:angle=Exterior\:angle\:on\: opposite\:side}}}}$

Here,

1. Exterior angle is 126°.
2. One interior angle is 43°.
3. Another interior angle is x .

Using above formula,

$\sf{\implies x +43^{\circ}= 126^{\circ}}$

$\sf{\implies x =(126-43)^{\circ}}$

${\underline{\boxed{\red{\sf{\leadsto x = 83^{\circ}}}}}}$

$\sf{\purple{\longmapsto The\:size\:of\:angle\:x\:is\:83^{\circ}.}}$