Question
How many pairs of adjacent angles are formed when two lines intersect in a point?
✓
Answer
Four pairs of adjacent angles will be formed when two lines intersect at a point. Considering two lines AB and CD intersecting at O.
The 4 pairs are:
$(\angle\text{AOD},\angle\text{DOB})$
$(\angle\text{DOB},\angle\text{BOC})$
$(\angle\text{COA},\angle\text{AOD})$
And $(\angle\text{BOC},\angle\text{COA})$
Hence, 4 pairs of adjacent angles are formed when two lines intersect at a point.
The 4 pairs are:
$(\angle\text{AOD},\angle\text{DOB})$
$(\angle\text{DOB},\angle\text{BOC})$
$(\angle\text{COA},\angle\text{AOD})$
And $(\angle\text{BOC},\angle\text{COA})$
Hence, 4 pairs of adjacent angles are formed when two lines intersect at a point.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Compute the value of x in the following figures.
Find the mean of:
All prime numbers between 50 and 80.
All prime numbers between 50 and 80.
Simplify the following:
$\frac{5\times25^{\text{n}+1}-25\times5^{2\text{n}}}{5\times5^{2\text{n}+3}-(25)^{\text{n}+1}}$
→$\frac{5\times25^{\text{n}+1}-25\times5^{2\text{n}}}{5\times5^{2\text{n}+3}-(25)^{\text{n}+1}}$
Factorise:
2x2 + 3x - 90
2x2 + 3x - 90
In the following two polynomials, find the value of a, if x - a is factor:
x6 - ax5 + x4 - ax3 + 3x - a + 2
x6 - ax5 + x4 - ax3 + 3x - a + 2
Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}.$
→$\triangle$ABC, AD is perpendicular bisector of BC. Show that $\triangle$ABC is an isosceles triangle in which AB = AC.
→Factorise:
8(x + y)3 - 27(x - y)3
8(x + y)3 - 27(x - y)3
Write the supplement of an angle of measure 2y°.