Advertisements
Advertisements
Question
Find the angle measure x in the given Figure
Advertisements
Solution
From the figure, it can be concluded that,
90º + a = 180º (Linear pair)
a = 180º − 90º = 90º
Sum of the measures of all interior angles of a quadrilateral is 360º. Therefore, in the given quadrilateral,
60° + 70° + x + 90° = 360°
220° + x = 360°
x = 140°
APPEARS IN
RELATED QUESTIONS
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
In the given figure, PQRS is a rhombus in which the diagonal PR is produced to T. If ∠SRT = 152°, find x, y and z.
Diagonals necessarily bisect opposite angles in a
Can all the angles of a quadrilateral be right angles? Give reason for your answer.
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
In the following figure, P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD.
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is ______.
The polygon in which sum of all exterior angles is equal to the sum of interior angles is called ______.
