Question

Triangle angle-sum theorem
Find m<1

Answer 1

123 Degrees.

Step-by-step explanation:

This is basically the Exterior Angle Theorem which basically states that the exterior angle (m<1) is equal to the sum of the 2 opposite interior angles. (60 & 63).

Following this theorem your equation should look something like this -

Exterior Angle = Opposite Interior Angle + Opposite Interior Angle.

Plug in the numbers and you'll get -

m<1 = 60 + 123

m<1 = 123

Answer 2

The value of m<1 is 123 Degrees.

The Exterior Angle Theorem in geometry deals with the relationship between the exterior angle of a triangle and the remote interior angles. It states:

Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

This is the Exterior Angle Theorem, which states that the exterior angle (m1) equals the sum of the two opposite interior angles. (60 & 63).

Using this theorem, your equation should look like this -

Exterior Angle = Opposite Interior Angle multiplied by Opposite Interior Angle.

When you enter the numbers, you'll get -

m<1 = 60 + 63

m<1 = 123