Advertisements
Advertisements
Question
The following figure is parallelogram. Find the degree value of the unknown x, y, z.
Advertisements
Solution
\[y = 112° (\text{ opposite angles are equal in a parallelogram })\]
\[\text{ In } ∆ UTW : \]
\[x + y + 40° = 180° (\text{ angle sum property of a triangle })\]
\[x = 180°- (112° - 40°) = 28°\]
\[\text{ Bottom left vertex } = 180°- 112°= 68°\]
\[ \therefore z = x = 28° (\text{ alternate angles })\]
RELATED QUESTIONS
In the adjacent figure HOPE is a parallelogram. Find the angle measures x,y and z. State the geometrical truths you use to find them.
Two opposite angles of a parallelogram are (3x − 2)° and (50 − x)°. Find the measure of each angle of the parallelogram.
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?
It has all its sides of equal lengths.
Fill in the blank, in the following, so as to make the statement true:
A rhombus is a parallelogram in which ......
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.
Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.
Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.
The lengths of the diagonals of a Rhombus are 12 cm and 16 cm. Find the side of the rhombus
