Advertisements
Advertisements
Question
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Advertisements
Solution
\[ x = 90° (\text{ vertically opposite angle })\]
\[\text{ Sum of all angles in a triangle is } {180}^°. \]
\[ \therefore y + 90°+ 30° = 180°\]
\[y = 180°- (90°+ 30°) = 60°\]
\[y = z = 60° (\text{ alternate angles })\]
APPEARS IN
RELATED QUESTIONS
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.

Which of the following statement is true for a rhombus?
It has two pairs of parallel sides.
Which of the following statement is true for a rhombus?
Its diagonals are equal and perpendicular.
Which of the following statement is true for a rhombus?
It is a square.
Fill in the blank, in each of the following, so as to make the statement true:
If the diagonals of a parallelogram bisect each other at right angles, then it is a ......
Show that each diagonal of a rhombus bisects the angle through which it passes.
Diagonals of a parallelogram intersect each other at point O. If AO = 5, BO = 12 and AB = 13 then show that `square`ABCD is a rhombus.
The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.

