Advertisements
Advertisements
Question
Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?
Solution
We know that,
Sum of all angles of a quadrilateral = 360°
But here,
110° + 80° + 70° + 95° = 355° ≠ 360°
Hence, 110°, 80°, 70° and 95° cannot be the angles of a quadrilateral.
APPEARS IN
RELATED QUESTIONS
Find x + y + z
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
Find the measure of all the angles of a parallelogram, if one angle is 24° less than twice the smallest angle
In Fig. below, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute
∠CDB and ∠ADB.
The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =
Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
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°.
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is this quadrilateral convex or concave?