Advertisements
Advertisements
Question
Find the value of z
Solution
The sum of angles at a point is 360°.
∴ ∠QOP + ∠PON + ∠NOM + ∠MOQ = 360°
3z + (2z – 5) + (z + 10) + (4z – 25) = 360°
3z + 2z + z + 4z – 5 + 10 – 25 = 360°
10z – 20° = 360°
10z – 20° + 20° = 360° + 20°
10z = 380°
z = `(380^circ)/10`
z = 38°
APPEARS IN
RELATED QUESTIONS
Find the measure of angle x in the following figure
Find the measure of angle x in the following figure
Find the value of angle a in the following figure
Anbu has marked the angles as shown in the following figure. Check whether it is correct. Give reason
Draw two parallel lines and a transversal. Mark two alternate interior angles G and H. If they are supplementary, what is the measure of each angle?
A plumber must install pipe 2 parallel to pipe 1. He knows that ∠1 is 53. What is the measure of ∠2?
Two parallel lines are cut by a transversal. For each pair of interior angles on the same side of the transversal, if one angle exceeds the twice of the other angle by 48°. Find the angles
In the parking lot shown, the lines that mark the width space are parallel. If ∠1 =(x + 39)°, ∠2 = (2x – 3y)° find x and y
In the given figure, PQ, RS and UT are parallel lines. If c = 75° and a = `2/5`c, find b.
In the given figure, two parallel lines l and m are cut by two transversals p and q. Determine the values of x and y.
