| 1. |
5. In a parallelogram ABCD, ZA = 70°, find all the other angles. |
|
Answer» In a parallelogram, the opposite angles are equal. So, angle A = 70° that is equal to angle C. Angle C = 70°... A + B = 180° (Because the adjacent angles are supplementary in a parallelogram) 70 + B = 180B = 180 - 70B = 110° Angle B = angle D (Opposite angles are equal in a parallelogram) Therefore, A = 70° , B = 110° , C = 70° and D = 110°. 110tdhjen hehe sue Dyer sube is 110 the other angle b is 110°and angle c is 70°d=110° A=70° the equal to angle C=70, A+B=180; 70+B=180, B=180-70=110°, A & C = 70°, B & D = 110 As we know that in parallelogram, opposite angles are equally. So if angle A is 70° the opposite angle C is 70°. As we know that adjacent angles are supplementary (180°) in a parallelogram. So let the angle B be x=>70°+x=180°=>x=180°-70°=>x=110° Angle B=Angle D(opposite sides). Thus,Angle B=110°,Angle C=70°and Angle D=110°. 70°,110°,70°,110 ° is the correct answer of the given |
|