Advertisements
Advertisements
प्रश्न
In the following figure, if AB || CD, then ______.
विकल्प
∠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 exterior angle x in the following diagram:
Find angle x in Fig
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, find the value of x
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
If the exterior angle of a triangle is 140° and its interior opposite angles are equal, find all the interior angles of the triangle
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
In ∆ABC, ∠Α = 50°, ∠B = 70° and bisector of ∠C meets AB in D (see figure). Measure of ∠ADC is ______.
The sum of an exterior angle of a triangle and its adjacent angle is always ______.
In the given figure, ∠UQR = ∠______ + ∠ ______
In the context of a triangle, which term describes the relationship between an exterior angle and its adjacent interior angle?
