Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is
Answer:
Quadrant IV
Step-by-step explanation:
The equation after the first step is (d) 2v+4=8
The equation is given as:
The first step to solving the equation is to collect like terms.
So, we have:
Take LCM
Add 5 and 1
Divide 6 by 3
2v+4=8
Hence, the equation after the first step is (d) 2v+4=8
Read more about equivalent equations at:
brainly.com/question/2972832
#SPJ1