Find the measures of the angles of an isosceles triangle with a vertex angle of 42 degrees

69°, 69°, and 42°

Step-by-step explanation:

Isosceles triangles have three angles -- one vertex angle and two base angles.

The base angles have the same measure and the vertex angle has a different measure.

Remember all triangles' interior angles sum to 180°.

If the vertex angle is 42°, then the two base angles combined are:

180° - 42° = 138°

Since the base angles are the same, each base angle is:

138° ÷ 2 = 69°

Therefore the angles in the triangle measure 69°, 69°, and 42°.

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.