11. In the adjoining figure , find the measure of angles x of 50 dgree DX 40 dgree СBA
Answers
Answer:
Sum of all interior angles of quadrilateral =360
0
∴50+130+120+x=300
x=60
0
(b)
90+a=180
a=90
Sum of all angles of quad =360
x+70+60+90=360
x=140
0
(c)
70+a=180 (Linear pair)
a=110
60+b=180 (Linear pair)
b=120
Sum of measures of all angles of pentagon =540
0
∴120+110+x+x+30=540
2x=280
x=140
0
(d)
Sum of all angles of pentagon 540
Given all angles are equal
∴5x=540
x=108
0
Step-by-step explanation:
Sum of all interior angles of quadrilateral =360
0
∴50+130+120+x=300
x=60
0
(b)
90+a=180
a=90
Sum of all angles of quad =360
x+70+60+90=360
x=140
0
(c)
70+a=180 (Linear pair)
a=110
60+b=180 (Linear pair)
b=120
Sum of measures of all angles of pentagon =540
0
∴120+110+x+x+30=540
2x=280
x=140
0
(d)
Sum of all angles of pentagon 540
Given all angles are equal
∴5x=540
x=108
0