question Q2 PLEASE SLOVE IT
Answers
Answer:
x=34°,y=115°
Step-by-step explanation:
Given that ABCD is a trapezium
AB||DC, AD is transversal
angle BAD + angle ADC=180°(co interior angle)
(2x-10)°+(3x+20)°=180°
5x+10=180
5x=180-10
5x=170
x=170÷5
x=34°
similarly angle ABC+ angle BCA=180°
65°+y=180°
y=180°-65°
y=115°
Given - ABCD is a trapezium where
AB||DC
To find - values of x and y
Solution - AB||DC and AD is transversal
So,
(2x -10°) + (3x + 20°) = 180°
[Co-interior Angles]
5x + 10° = 180°
5x = 170°
x = 34°
Also, AB||DC and BC is transversal
So,
y + 65° = 180°. [Co-interior Angles]
y = 180° - 65°
y = 115°
Therefore x = 34° and y = 115°
Hope it helps