Question

Find the measure of the three exterior angles
of a triangle if the measures of the three
angles of a triangle are as follows:
A. 55°, 65°, 60°
B. 1159, 359, 30​

Answer 1

Answer:

A. 180-55=125

   180-65=115

   180-60=120

Step-by-step explanation:

I don't think its that difficult and doesn't need explanation. But if you ever want to check your answer think of it this way, exterior angle is equal to the addition of 2 opposite angles

ex.

exterior angle of angle 60 is 120, we can check this by adding 55 and 65

55+65=120

Hope this helped :)

Answer 2

SoluTion:

(1). 55°, 65°, 60°

Exterior angle for 55° (let x)

We know that, exterior angle is the sum of interior opposite angle.

→ x = 65° + 60°

→ x = 125°

Exterior Angle for 65° (let y)

We know that, exterior angle is the sum of interior opposite angle.

→ y = 60° + 55°

→ y = 115°

Exterior angle for 60° (let z)

We know that, exterior angle is the sum of interior opposite angle.

→ z = 55° + 65°

→ z = 120°

(2). 115°, 35°, 30°

(The question Should be like this because sum of angles of a triangle must be equal to 180°).

Exterior angle for 115° (let x)

We know that, exterior angle is the sum of interior opposite angle.

→ x = 35° + 30°

→ x = 65°

Exterior Angle for 35° (let y)

We know that, exterior angle is the sum of interior opposite angle.

→ y = 30° + 115°

→ y = 145°

Exterior angle for 30° (let z)

We know that, exterior angle is the sum of interior opposite angle.

→ z = 35° + 115°

→ z = 150°