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 in the following figures.
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
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram .
In the given figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD = 146°, find ∠AOB.
If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?
If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
The angles P, Q, R and S of a quadrilateral are in the ratio 1:3:7:9. Then PQRS is a ______.
The sum of all ______ of a quadrilateral is 360°.
