Question

9. Find x in the following figure. E 90° 60° D A 90° 21 X B 40°​

Answer 1

Answer:

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Step-by-step explanation:

(a)

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

Answer 2

Answer:

Step-by-step explanation:

Sum of interior angles of a pentagon is 540°

Therefore, A + B + C + D + E = 540°

A = 90

B = 180 - 40 = 140

D = 180 - 60 = 120

E = 180 - 90 = 90

C = ?                

C = 540° - (90° + (180° - 90°) + (180° - 60°)+ (180° - 40°)) = 100°

Now we have to find x,

x = (180 - C)° = (180 - 100)° = 80°