Advertisements
Advertisements
प्रश्न
In the following figure, if AB || CD, then ______.
पर्याय
∠2 = ∠3
∠1 = ∠4
∠4 = ∠1 + ∠2
∠1 + ∠2 = ∠3 + ∠4
Advertisements
उत्तर
In the following figure, if AB || CD, then ∠1 + ∠2 = ∠3 + ∠4.
Explanation:
Given, AB || CD
∴ ∠2 = ∠4 ...(i) [Corresponding angles]
And ∠1 = ∠3 ...(ii) [Alternate interior angles]
Adding (i) and (ii), we get
∠1 + ∠2 = ∠3 + ∠4
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown interior angle x in the following figure.
Using the diagram find the value of x.
An exterior angle of a triangle is 70° and two interior opposite angles are equal. Then measure of each of these angle will be
If an exterior angle of a triangle is 115° and one of the interior opposite angles is 35°, then the other two angles of the triangle are
In the figure find the value of x
In the following figure, PQ = PR, RS = RQ and ST || QR. If the exterior angle RPU is 140°, then the measure of angle TSR is ______.
In the following figure, ∆PQR is right-angled at P. U and T are the points on line QRF. If QP || ST and US || RP, find ∠S.
According to the Exterior Angle Rule, the measure of an exterior angle of a triangle is equal to the sum of which two angles?
What is the measure of an exterior angle if its adjacent interior angle measures 65∘?
If all three sides of a triangle are extended, how many distinct exterior angles are formed in total?
