Question

In angle ABC, the exterior angle angle ACD is 110°. Find the measure of angle BAC, I angle ABC = 65°​

Answer 1

Answer:

Measure of ∠BAC is 45°.

Step-by-step explanation:

Given :

• ∠ABC is 65°.
• ∠ACD is 110°.

To find :

• Measure of ∠BAC.

Solution :

We know,

✿ Sum of any two interior angles of triangle is equal to the opposite exterior angle.

So,

$\implies$ ∠ABC + ∠BAC = ∠ACD

$\implies$ 65° + ∠BAC = 110°

$\implies$ ∠BAC = 110° - 65°

$\implies$ ∠BAC = 45°

Therefore,

Measure of ∠BAC is 45°.

Some more properties related to triangle :

• Sum of all interior angles of triangle is equal to 180°. This property is also known as "Angle Sum Property of Triangle".
• The sum of all exterior angles of any triangle is equal to 360°.
• [Related to straight line] Sum of all angles formed on straight line is equal to 180°. This property is known as "Linear pair".

Answer 2

QUESTION :

• In angle ABC, the exterior angle angle ACD is 110°. Find the measure of angle BAC, I angle ABC = 65°

GIVEN :

• angle ACD is 110

• angle ABC = 65°

TO FIND :

• what is the measure of 65 degree = ?

SOLUTION :

• please check the attached file

step 1 :

first we will draw the traingle

step 2 :

then, draw the arc

step 3 :

then, we will write in traingle ABCD

step 4 :

then, we also write in traingle 65° and 110°