Advertisements
Advertisements
Question
Find the angle measure x in the given Figure
Advertisements
Solution
From the figure, it can be concluded that,
70 + a = 180° (Linear pair)
a = 110°
60° + b = 180° (Linear pair)
b = 120°
Sum of the measures of all interior angles of a pentagon is 540º.
Therefore, in the given pentagon,
120° + 110° + 30° + x + x = 540°
260° + 2x = 540°
2x = 280°
x = 140°
RELATED QUESTIONS
Find x + y + z + w
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D .
If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.
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.
In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =
The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =
Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
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 ______.
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is this quadrilateral convex or concave?
