In parallelogram abcd below, line ac is a diagonal, the measure of angle abc is 40 degrees, and the measure of angle acd is 57 degrees. what is the measure of angle cad

The measure of angle CAD is 83 degrees.

Step-by-step explanation:

Given information: ABCD is a parallelogram, AC is a diagonal, and  .

The opposite sides of parallelogram are congruent.

The diagonal AC divides the parallelogram in two congruent triangles.

In triangle ABC and ADC,

                                    (Opposite sides of parallelogram)

        (Opposite angles of parallelogram)

                                    (Opposite sides of parallelogram)

By SAS postulate,

Since we know that opposite angles of parallelogram are equal, therefore

According to the angle sum property the sum of interior angles of a triangle is 180 degrees.

Therefore the measure of angle CAD is 83 degrees.

42%

step-by-step explanation:

we know,

total people = 60

total males = 25

percentage of males

= 25/60 × 100

= 25/6 × 10

= 25/3 × 5

= 125 / 3

= 41.

rounding of = 42%

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