हिंदी

The Adjacent Figure Hope is a Parallelogram. Find the Angle Measures X, Y And Z. State the Properties You Use to Find Them.

Advertisements
Advertisements

प्रश्न

The adjacent figure HOPE is a parallelogram. Find the angle measures xy and z. State the properties you use to find them.

योग
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°

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Understanding Quadrilaterals - EXERCISE 3.3 [पृष्ठ ३१]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 8
अध्याय 3 Understanding Quadrilaterals
EXERCISE 3.3 | Q 7. | पृष्ठ ३१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Consider the given parallelogram. Find the values of the unknowns x, y, z.


Can a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°?


In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that `square`PQRS is a parallelogram.


Referring the adjacent figure of a parallelogram, write the answer of questions given below.

(1) If l(WZ) = 4.5 cm then l(XY) = ?

(2) If l(YZ) = 8.2 cm then l(XW) = ?

(3) If l(OX) = 2.5 cm then l(OZ) = ?

(4) If l(WO) = 3.3 cm then l(WY) = ?

(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?


In parallelogram ABCD, ∠A = 3 times ∠B. Find all the angles of the parallelogram. In the same parallelogram, if AB = 5x – 7 and CD = 3x +1 ; find the length of CD.


PQRS is a parallelogram whose diagonals intersect at M.
If ∠PMS = 54°, ∠QSR = 25° and ∠SQR = 30° ; find :

(i) ∠RPS
(ii) ∠PRS
(iii) ∠PSR.


In the following diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD.

Show that:
(i) ∠PSB + ∠SPB = 90°
(ii) ∠PBS = 90°
(iii) ∠ABC = 90°
(iv) ∠ADC = 90°
(v) ∠A = 90°
(vi) ABCD is a rectangle
Thus, the bisectors of the angles of a parallelogram enclose a rectangle.


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


Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.


Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×