Advertisements
Advertisements
Question
The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
Advertisements
Solution
\[\text{ Given that one angle of the parallelogram is } 70° . \]
\[\text{ Since opposite angles have same value, if one is }70° , \text{ then the one directly opposite will also be } 70° . \]
\[\text{ So, let one angle be }x° . \]
\[x° + 70° = 180° (\text{ the sum of adjacent angles of a parallelogram is } 180° )\]
\[x° = 180° - 70° \]
\[x° = 110° \]
\[\text{ Thus, the remaining angles are }110° , 110° \text{ and }70° . \]
APPEARS IN
RELATED QUESTIONS
The following figure is parallelogram. Find the degree values of the unknowns x, y, z.

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

The following figure is parallelogram. Find the degree value of the unknown x, y, z.

Which of the following statement is true for a rhombus?
It is a square.
Identify all the quadrilateral that have Four sides of equal length
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.

The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.

If the adjacent sides of a parallelogram are equal then parallelogram is a ______.
If a diagonal of a quadrilateral bisects both the angles, then it is a ______.
Construct a rhombus whose side is 5 cm and one angle is of 60°.
