Advertisements
Advertisements
प्रश्न
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
पर्याय
1 : 3
2 : 3
1 : 4
1 : 2
Advertisements
उत्तर
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is 1 : 3.
Explanation:
We know that, adjacent angles of a parallelogram are supplementary, i.e. their sum equals 180°.
∴ (5x – 5) + (10x + 35) = 180°
⇒ 15x + 30° = 180°
⇒ 15x = 150°
⇒ x = 10°
Thus, the angles are (5 × 10 – 5) and (10 × 10 + 35), i.e. 45° and 135°.
Hence, the required ratio is 45° : 135°, i.e. 1 : 3.
APPEARS IN
संबंधित प्रश्न
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
Name the quadrilaterals whose diagonals bisect each other
In the given figure, `square`ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.
Given: Parallelogram ABCD in which diagonals AC and BD intersect at M.
Prove: M is the mid-point of LN.
Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b, c || d, e || f, find the marked angles between c and f
In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.
Find the values of x and y in the following parallelogram.
ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45°. Find the angles of the parallelogram.
Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
