Advertisements
Advertisements
Question
Use the following figure to find the value of x
Advertisements
Solution
The sum of exterior angles of a quadrilateral
⇒ y + 80° + 60° + 90° = 360°
⇒ y + 230° = 360°
⇒ y = 360° – 230° = 130°
At vertex A,
∠y + ∠x = 180° (Linear pair)
x = 180° – 130°
⇒ x = 50°
APPEARS IN
RELATED QUESTIONS
ABCD is a parallelogram, AD is produced to E so that DE = DC and EC produced meets AB produced in F. Prove that BF = BC.
In a quadrilateral, define of the following Adjacent sides .
In a quadrilateral, define of the following Interior .
The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.
Complete the following statement by means of one of those given in brackets against each:
If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120. find angles B and D.
In parallelogram ABCD, ∠A = 90°
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
Observe the figure below and find out their name.
Using the information given, name the right angles in part of figure:
AC ⊥ BD
Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent sides.
