Which relationship describes angles 1 and 2?
2 answers:
Answer: The answer is (A) complementary angles.
Step-by-step explanation: We are given a figure involving angles 1 and 2 and we are to select the correct relation between these two angles.
We have
We know that, if the sum of two angles is 90°, then they are said to be complementary angles.
Thus, ∠1 and ∠2 are complementary angles.
Thus., (A) is the correct option.
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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
