Question

50º, 90º, x, and 110º are the exterior angles of a convex quadrilateral. Value of x will be *

(A) 110º
(B) 55º
(C) 210º
(D) 90º

Answer 1

Answer:

c is the right answer

Step-by-step explanation:

we know that

the sum of all quadrilateral is 360

according to question

50+90+x110=360

250+x=360

x=360-250

x=110

Answer 2

Answer :-

• The value of x = 110°.

To find :-

• The value of x.

Step-by-step explanation :-

• Here, it is given that the exterior angles of a quadrilateral are 50°, 90°, x° and 110°. We have to find the value of x!

We know that :-

$\bigstar \: \underline{\boxed{\sf Sum_{(exterior \: angles\: of \: a \: quadrilateral)} = 360^{\circ}}}$

Therefore :-

$\longrightarrow$ 50 + 90 + x + 110 = 360

$\longrightarrow$ 140 + x + 110 = 360

$\longrightarrow$ x + 250 = 360

$\longrightarrow$ x = 360 – 250

$\longrightarrow$ x = 110°

Hence :-

• The value of x is 110°.

• Option a) is correct.

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