Question

Find all the three angles ​

Answer 1

Answer:

Step-by-step explanation:

80,85,15

And exterior angle is 165

Answer 2

Step-by-step explanation:

In triangle ABC,

• angle ACB and angle ACD is linear pair , then sum of these two angles is 180°.

hence,

Let's angle ACB = x

(4x-15)°+ x = 180°

4x + x = 180+15 = 195

5x = 195

x = 39°

then,

put the value of x in the equation

• (4x-15)° = 4× 39 - 15 = 141° .

now , we know that

• Sum of two interior angles is equal to exterior angle.

• (x + 35) +( 2x - 5) =141
• 2x + x + 35 - 5 = 141
• 3x + 30 = 141
• 3x = 141 -30
• 3x = 111
• x = 37°

put the value of x in the equation -

• 1st angle in ABC = (x + 35) =
• 37 + 35 = 72°

• 2nd angle in ACB =( 2x - 5) =
• 2×37 -5 = 69°

then it is solution of this question.

hope it's helpful for you