The angles of each parallelogram are depicted either as whole numbers or as algebraic expressions. In a parallelogram, a djacent angles are supplementary.
saying that the sum of the consecutive angles of a parallelogram is equal to 180°. Angles are represented as whole numbers and algebraic expressions. Simplify and solve this equation: 5x = 180, x = 36. There are many different ways to solve this question. Explanation: . Problem 2 Since it is a parallelogram internal angles A and D are supplementary and their sum is equal to 180 degrees. Solution : Let "x" be one of the angles.
$$ \angle \red W = 40^{\circ} $$ since it is opposite $$ \angle Y $$ and opposite angles are congruent. Since consecutive angles are supplementary Equate the measures of angles and find x. You know that the opposite angles are congruent and the adjacent angles are supplementary. x + 4 x = 180 ° 5x = 180 ° Divide both sides by 5. x = 36 ° Then, the adjacent angle of x is 4x. 1. In two adjacent angles of a parallelogram, if one angle is four times of the other, then find the measures of the two angles. Apply the angle properties of a parallelogram to find the value of x. Then the larger angle has the angle measure of 4*36° = 144° in accordance with the problem condition. In a parallelogram, consecutive angles are supplementary (i.e. So, we have. Thus, the smaller angle has the angle measure of 36°. add to ) and opposite angles are congruent (i.e. equal).Using these properties, we can write a system of equations.