Advertisements
Advertisements
Question
In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to ______.
Options
40°
80°
120°
60°
Advertisements
Solution
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
RELATED QUESTIONS
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
Using the given figure find the value of x.
In the given figure find the value of x
From the given figure, the value of x is ______.
In ∆ABC, ∠Α = 50°, ∠B = 70° and bisector of ∠C meets AB in D (see figure). Measure of ∠ADC is ______.
What is the measure of an exterior angle if its adjacent interior angle measures 65∘?
A triangle has interior opposite angles measuring 50° and 75°. What is the measure of the exterior angle at the third vertex?
