Question

If an exterior angle of a triangle is 116 degree and an interior opposite angle is 68 degree , find the other angles of the triangle .

Answer 1

GIVEN: exterior angle = 116 degrees, therefore, it's a linear pair, using angles in a straight line property, we can say that the other angle is 180-116= 64 degrees.

GIVEN: One of the interior angle measures is given=68 degrees

Now, we know the measure of 2 angles of the triangle which is 64 and 68 degrees. To find the third angle, we can use the angle sum property of a triangle as we know angles in a triangle add up to 180 degrees,

forming and equation, assuming the third angle to be x degrees,

Equation: x+64+68=180

                x+ 132=180

                x= 180-132

                therefore, x= 48 degrees,

To conclude, the three angles of the triangle are 64, 68, and 48 degrees in measure.

Hope you understood this and helps you :)

Comments

Thank You So Much I Have Understood This But , You Have Given Me The Answer Very Late And Before That I Have Solved This Correctly And I Have Checked My Answer From Yours Answer And My Answer Is Correct.

Answer 2

Given ,

Ext angle = 116

Inte angle = 68

let the unknown angle be x and z

ext angle + inte angle = 180

116 + x = 180

x = 64

we know that sum of all  interior angle of triangle is 180

int angle + x + z = 180

68+64+z=180

z=48

therefore unknown angle are 48 and 64

Comments

Thank You So Much I Have Understood This But , You Have Given Me The Answer Very Late And Before That I Have Solved This Correctly And I Have Checked My Answer From Yours Answer And My Answer Is Correct.