Question

the sum of the interior triangle measures of a quadrilateral is 360 degrees. the measure of angle A is three times the measure of angle D. The measure of angle B is four times that of angle D. The measure of angle C is 24 degrees more than angle B. FInd the measure of each triangle

Answer 1

Step-by-step explanation:

The sum of the measures of the interior angles of any quadrilateral can be found by breaking the quadrilateral into 2 triangles.

Since, the measure of the interior angles of any triangle equals 180 degrees,

a+b+c=180

p+q+r=180

Each of the two triangles will contribute 180 degrees to the total for the quadrilateral.

Sum of angles of quadrilateral

= b+(a+p)+q+(r+c)=a+b+c+p+q+r=180+180

=360=4×90

=4 right angles