The adjacent angles of a parallelogram are (3x+20)⁰ and (5x – 40)⁰. Find the measure of all the four angles
Answers
Answer:
1st adjacent angle=95°
2nd adjacent angle=85°
as it same for another angles
so all four angles are 95°, 85°, 95°, 85°
Step-by-step explanation:
sum of adjacent angles of a parallelogram is 180°
(3x+2) °+(5x-40) °=180°
8x-20=180
8x=180+20
8x=200
x=25
3x+20=3(25) +20=95°
5x-40=5(25) -40=85°
HOPE THIS WILL HELP YOU
Given : adjacent angle of a parallelogram (3x+20)° + (5x – 40)°
To find : measure of all the four angles
Solution:
Sum of adjacent angle of a parallelogram = 180°
=> (3x+20)° + (5x – 40)° = 180°
=> (8x – 20)° = 180°
=> (8x)° = 200°
=> (x)° = 25°
(3x+20)° = (3*25+20)° = 95°
(5x – 40)° = (5*25 - 40)° = 85°
Opposite angles of parallelogram are equal
Hence Measure of all the four angles
95° , 85° , 95° , 85°
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