Advertisements
Advertisements
प्रश्न
The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
Advertisements
उत्तर
y = 40° (Alternate interior angles)
70° = z + 40º (Corresponding angles)
70° − 40° = z
z = 30°
x + (z + 40º) = 180° (Adjacent pair of angles)
x + 70º = 180°
x = 110°
APPEARS IN
संबंधित प्रश्न
Consider the given parallelograms. Find the values of the unknowns x, y, z.
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
In the adjacent figure, if seg AB || seg PQ, seg AB ≅ seg PQ, seg AC || seg PR, seg AC ≅ seg PR then prove that, seg BC || seg QR and seg BC ≅ seg QR.
In parallelogram ABCD, X and Y are midpoints of opposite sides AB and DC respectively. Prove that:
(i) AX = YC
(ii) AX is parallel to YC
(iii) AXCY is a parallelogram.
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 d and e
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
All rectangles are parallelograms.
In parallelogram MODE, the bisector of ∠M and ∠O meet at Q, find the measure of ∠MQO.
Two angles of a quadrilateral are each of measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.
A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
