Question

FIND ALL INTERIOR ANGLE

Answer 1

Answer:

Angles are : 45 , 55 , 80.

Step-by-step explanation:

Properties to be used : -

• Sum of all angles on a straight line = 180°
• Sum of all angles of a triangle = 180°

Then,

135° + ( interior opp. ∠ of 135° ) = 180

interior opp. ∠ of 135° = 180 - 135°

interior opp. ∠ of 135° = 45°

125° + ( interior opp. ∠ of 125° ) = 180

interior opp. ∠ of 125° = 180° - 125°

interior opp. ∠ of 125° = 55°

Now, we have the measures of two angles of the triangle.

On the basis of the property ( 1 ) given above : -

55° + 45° + 3rd angle = 180°

100° + 3rd angle = 180°

3rd angle = 180° - 100°

3rd angle = 80°

Therefore, interior angles of the given triangle = 55° , 45° and 80°

Answer 2

hey frnd.....
In the given figure....

for angle ABC.....
<DBC = <ABD + <ABC ( Linear angle)
180° = 135° + <ABC
<ABC = 45°

for angle <ACB....
<ECB = <ACE + <ACB ( Linear angle)
180° = 125° + <ACB
<ACB = 55°

now in ∆ABC
We know that sum of all angles = 180°
so....
<ABC + <BAC + <ACB = 180°
45° + 55° + <BAC = 180°
<BAC = 180°-100°
<BAC = 80°

So the 3 angles are... 45° , 55° and 80°
HOPE THIS HELP YOU ☺☺❤❤❤