Answer:
Measure of [tex]\angle A = \angle D =60[/tex] and [tex]\angle B=\angle C=120[/tex] in degrees.
Step-by-step explanation:
Given:
A parallelogram where angles A and D measures same also, C and B measures same.
According to the question:
Measure of angle C is twice the measure of angle A.
Let the measure of angle A be "x" degree.
Accordingly :
Measure of each angle C and B = "2x"
Measure of each angle A and D ="x"
Note:
The sum of the measures of the angles of a parallelogram is 360°.
⇒ [tex]x+x+2x+2x=360[/tex]
⇒ [tex]6x=360[/tex]
⇒ [tex]x=\frac{360}{6}[/tex]
⇒ [tex]x=60[/tex]
So,
Measure of angle A and D be 60 degrees each.
Measure of angle B and C is 120 degrees each.
