Advertisements
Advertisements
Question
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is ______.
Options
150°
120°
105°
140°
Advertisements
Solution
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is 120°.
Explanation:
Let the fourth angle be x,
Then 80° + 80° + 80° + x = 360° ...[Sum of all the angles of quadrilateral is 360°]
⇒ 240° + x = 360°
⇒ x = 360° – 240°
⇒ x = 120°
APPEARS IN
RELATED QUESTIONS
Find x in the following figure:
Find x in the following figures.
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
In Fig. below, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute
∠CDB and ∠ADB.
If PQRS is a square, then write the measure of ∠SRP.
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?
In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. The angles of the triangle formed by joining the mid-points of the sides of this triangle are
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 polygon in which sum of all exterior angles is equal to the sum of interior angles is called ______.
Sum of all the angles of a quadrilateral is 180°.
