Question

700
R
3. One of the exterior angle of a AABC measures 150°. If one
of the interior opposite angle is 75º. Find the other interior
opposite angle. What type of triangle is this?​

Answer 1

Answer:

One exterior angle of triangle ABC = 150°

One interior opposite angle of triangle ABC = 75°

So the other interior opposite angle of triangle ABC = 150-75 = 75°

Hence ABC is an isosceles triangle.

Explanation :

Let the other interior opposite angle = x⁰

The sum of interior opposite angles = exterior angle

X⁰ + 75⁰ = 150⁰

Or, x = 150⁰ - 75⁰

Or, x = 75⁰

HOPE IT HELPS

MARK ME AS BRAINLIEST ✌️

Answer 2

Answer:

• Another missing interior opposite angle of ∆ABC is 75°
• ∆ABC is a isoceles triangle

Step-by-step explanation:

Question:-

One of the exterior angle of a AABC measures 150°. If one of the interior opposite angle is 75º. Find the other interior opposite angle. What type of triangle is this?

Given:-

• One of the exterior angle of ∆ABC measures 150°
• One of the interior opposite angle measure 75°

To find:-

• The other interior opposite angle
• The type of triangle

Solution:-

According to the questions it is given that,

One of the interior opposite angle of ∆ABC is 75° and exterior angle is 150°

As we know sum of two two interior opposite angles is equal to exterior angle

Let us assume that,

Another missing interior opposite angle be angle a

According to the formula we get,

angle b+angle a=150°

75°+x=150°

x=150°-75°

x=75°

Therefore the another missing angle of ∆ABC is 75°

Check:-

Sum of two interior opposite angles=Exterior angle

On substituting the values we get,

angle a+angle b=150°

75°+75°=150°

150°=150°

Hence L. H. S=R.H.S

∆ABC is a isosceles triangle(refer to the attachment)

Reason:-

Because the two base angles are equal

In isosceles triangle always the two base angles are equal