1.Two adjacent angles of a parallelogram are in the ratio 4:5. Find their measures. About the author Arianna
Answer: Answer:- 100 ° Step-by-step explanation: Hope it helps you ♥️ Pls mark me as Brainliest Reply
Answer: Step-by-step explanation: Let ∠A and ∠B are two adjacent angles. But we know that sum of adjacent angles of a parallelogram is 180 o ∠A+∠B=180 o Given that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x ∠A+∠B=180 o 4x+5x=180 o 9x=180 o x=180/9 x=20 o ∠A=4x=4×20=80 o ∠B=5x=5×20=100 o Also ∠B+∠C=180 o [Since ∠B and ∠C are adjacent angles] 100 o +∠C=180 o ∠C=180 o −100 o =80 o Now, ∠C+∠D=180 o [Since ∠C and ∠D are adjacent angles] 80 o +∠D=180 o ∠D=180 o −80 o =100 o Reply
Answer:
Answer:- 100 °
Step-by-step explanation:
Hope it helps you ♥️
Pls mark me as Brainliest
Answer:
Step-by-step explanation:
Let ∠A and ∠B are two adjacent angles.
But we know that sum of adjacent angles of a parallelogram is 180
o
∠A+∠B=180
o
Given that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x
∠A+∠B=180
o
4x+5x=180
o
9x=180
o
x=180/9
x=20
o
∠A=4x=4×20=80
o
∠B=5x=5×20=100
o
Also ∠B+∠C=180
o
[Since ∠B and
∠C are adjacent angles]
100
o
+∠C=180
o
∠C=180
o
−100
o
=80
o
Now, ∠C+∠D=180
o
[Since ∠C and
∠D are adjacent angles]
80
o
+∠D=180
o
∠D=180
o
−80
o
=100
o