Advertisements
Advertisements
प्रश्न
In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to ______.
विकल्प
40°
80°
120°
60°
Advertisements
उत्तर
In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to 80°.
Explanation:
Given, BC = CA,
∴ ∠B = ∠A = 40° ...[∵ Opposite angles of two equal sides are equal]
As we know, the measure of any exterior angle of a triangle is equal to the sum of the measure of its two interior opposite angles.
So, ∠ACD = ∠A + ∠B = 40° + 40°
⇒ ∠ACD = 80°
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown exterior angle x in the following diagram:
In ∆PQR, the measures of ∠P and ∠Q are equal and m∠PRQ = 70°. Find the measures of the following angles.
- m∠PRT
- m∠P
- m∠Q
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, find the value of x
Using the given figure find the value of x.
In the given figure BD = BC, find the value of x
In the figure find the value of x
In the given figure, ∠PRS = ∠ ______ + ∠ _______
In the following figure QP || RT. Find the values of x and y.
In the following figure, if RP = RQ, find the value of x.
According to the Exterior Angle Rule, the measure of an exterior angle of a triangle is equal to the sum of which two angles?
