Question

find the value of x in each case.​

Answer 1

Answer:

30°

Step-by-step explanation:

:- angle ABC + 40° + 90° = 180°

:- angle ABC + 130° = 180°

:- angle ABC = 50°

:- 100° + 50° + x = 180°

:- 150° + x = 180°

:- x = 30°

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Answer 2

Answer:

angle d = 30°

Step-by-step explanation:

[ sum of all angles of triangle ABC = 180° ]

that means,

A°+B°+C°=180°

40°+B°+90°=180°

130°+B°=180°

Therefore, angle B=50°.

Now, in triangle BED

B°+E°+D°=180°

50°+100°+D°=180

150°+D°=180°

Therefore, angle D=30°.

Hence, x is found.