Advertisements
Advertisements
प्रश्न
In the given figure, if CP || DQ, then the measure of x is
विकल्प
130°
105°
175°
125°
Advertisements
उत्तर
Let us extend PC to meet AB at point O.
It is given that BQ || PO.
Thus,∠QBOand ∠AOP are corresponding angles. Therefore,
∠AOP = ∠QBO
Given that ∠QBO = 150°, then we have:
∠AOP = 105V
Or,
∠AOC =105°
Also, in ΔAOC, exterior angle is equal to the sum of the interior opposite angles, therefore,
x = ∠AOC + ∠COA
x = 105° + 25°
x = 130°
APPEARS IN
संबंधित प्रश्न
If an angle is 30° more than one half of its complement, find the measure of the angle.
statement are true and false
If angles forming a linear pair are equal, then each of these angles is of measure 90°.
Fill in the blank so as to make the following statement true:
If one angle of a linear pair is acute, then its other angle will be _____
Fill in the blank so as to make the following statement true:
If the sum of two adjacent angles is 180°, then the ______ arms of the two angles are
opposite rays
Define complementary angles.
Write the complement of an angle of measure x°.
How many rays can be drawn through a fixed point O?
How many lines can be drawn through three
(a) collinear points?
(b) non-collinear points?
Write the complement of (30 − a)°
Write the supplement of (110 – x – 2y)°
