Question

In a triangle,an exterior angle at a vertex is 86° and its one of the interior opposite angle is 46°.Find all the angle is 46°.Find all the angles of triangle.​

Answer 1

Step-by-step explanation:

Exterior angle= sum of opposite Interior angles

one of the interior angle is 46. Let the other be x

46+x=86

x=86-46

x=40

Using Angle Sum Property

40+46+y=180

86+y=180

y=180-86

y=94

Therefore the angles are 94, 40, 46

Answer 2

Answer:

A=46

B=40

C=94

CHECKING:

SUM OF ALL SIDE OF TRAINGLE =180

46+40+94=180

ANSWER IS CORRECT

Step-by-step explanation:

Draw a traingle with Side ABC and an ext angle of 86.. Name the angle

A =46

B= x

C (half side)=y

C=46+x (exterior angle =sum of two opposite interior angle)

x=86-46=40

180-86=y (linear pair)

y=94