Find the measure of angle 1.*

Triangle with sides of 33 degrees,57 degrees end point 1
180
147
90

1 answer

To find the measure of angle 1 in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote the two known angles:

  • Angle A = 33 degrees
  • Angle B = 57 degrees

To find angle C (which we will call angle 1), we use the formula:

\[ Angle C = 180 - (Angle A + Angle B) \]

Substituting the values:

\[ Angle C = 180 - (33 + 57) \]

Calculating the sum of angles A and B:

\[ 33 + 57 = 90 \]

Now, substituting back into our equation for Angle C:

\[ Angle C = 180 - 90 = 90 \]

Therefore, the measure of angle 1 is 90 degrees.