Advertisements
Advertisements
Question
In below fig, determine the value of x.
Advertisements
Solution 1
Since sum of all the angles round a point is equal to 360°.Therefore
⇒ 3x + 3x +150 + x = 360°
⇒ 7x° = 360° -150°
⇒ 7x = 210°
⇒ x = `210/7`
⇒ x = 30°
Solution 2
In the given figure:
AOB is a straight line. Thus,∠AODand ∠BODform a linear pair.
Therefore their sum must be equal to180°.
We can say that
∠AOD+∠BOD = 180°
It is given that ∠AOD=150°, substituting this value in equation above, we get:
`150° + x = 180°`
` x = 180° - 150°`
` x =30°`
APPEARS IN
RELATED QUESTIONS
Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is
out of \[\overleftrightarrow{AB},\overrightarrow{AB},\overleftarrow{AB}\] and `overline(AB)` which one has a fixed length?
Find y in the given figure.
Write the complement of (x + 5)°
Write the complement of a°
Write the supplement of 0°
Write the supplement of (110 – x – 2y)°
AB, CD and EF are three lines intersecting at the same point.
(i) Find x, if y = 45° and z = 90°.
(ii) Find a, if x = 3a, y = 5x and r = 6x.
In the given figure, find the measure of the unknown angles:
