In the given figure, what is z in terms of x and y?

(a) x + y + 180

(b) x + y − 180

(c) 180° − (x + y)

(d) x + y + 360°

Open in App

Solution

In the given ΔABC, we need to convert z in terms of x and y

Now, BC is a straight line, so using the property, “angles forming a linear pair are supplementary”

Similarly,

Also, using the property, “vertically opposite angles are equal”, we get,

Further, using angle sum property of the triangle

Thus,

Therefore, the correct option is (b).

Suggest Corrections

Similar questions

$In the given figure, two rays BD and CE intersect at a point A . The side BC of Δ A B C have been produced on both sided to points F and G respectively .If ∠ A B F = x^{\circ}, ∠ A C G = y^{\circ} a n d ∠ D A E = z^{\circ} T h e n z = ?$

$(a) x + y - 180 (b) x + y + 180 (c) 180 - (x + y) (d) x + y + 360^{\circ}$

Q. In the given figure, two rays BD and CE intersect at a point A. The side BC of ∆ABC have been produced on both sides to points F and G respectively. If ∠ABF = x°, ∠ACG = y° and ∠DAE = z° then z = ?
(a) x + y – 180
(b) x + y + 180
(c) 180 – (x + y)
(d) x + y + 360°

Q. In the given figure, if l₁ || l₂, what is x + y in terms of w and z?

(a) 180 − w + z

(b) 180 + w − z

(c) 180 − w − z

(d) 180 + w + z

In the given figure with B as centre, the length of the minor arc AC subtending an angle $θ$ at the centre is y and the circumference is x. Find the ratio y : x.

The correct order of the enol content of

x

y

and

z

is:

Join BYJU'S Learning Program

In the given figure, what is z in terms of x and y? (a) x + y + 180 (b) x + y − 180 (c) 180° − (x + y) (d) x + y + 360°

In the given figure, what is z in terms of x and y?

(a) x + y + 180

(b) x + y − 180

(c) 180° − (x + y)

(d) x + y + 360°