One angle of a triangle has a measure of 66. the measure of the third angle is 57 more than half the measure of the second angle. the sum of the angle measures of a triangle is 180

The measure of the second ans third angles is 38° and 76° respectively.

Step-by-step explanation:

Let angles of the triangle be  : x,y,z

x =  First angle of the triangle = 66°

y = Second angle of the triangle

z = Third angle of the triangle

According to question:

(Angle sum property of triangle)

y = 38°

z = 76°

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it