Advertisements
Advertisements
प्रश्न
The measures of ∠x and ∠y in the following figure are respectively.
पर्याय
30°, 60°
40°, 40°
70°, 70°
70°, 60°
Advertisements
उत्तर
70°, 60°
Explanation:
As we know,
Measure of exterior angle = Sum of the opposite interior angles
⇒ ∠R = ∠P + ∠Q
⇒ 120° = x + 50° ...[∵ ∠R = 120°]
⇒ x = 120° – 50°
⇒ x = 70°
Now, the sum of the interior angles of a triangle is 180°
∴ x + y + 50° = 180°
⇒ 70° + y + 50° = 180°
⇒ 120° + y = 180°
⇒ y = 180° – 120°
⇒ y = 60°
APPEARS IN
संबंधित प्रश्न
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.
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
Find the value of ‘x’ in the given figure
In the figure find the value of x
From the given figure, the value of x is ______.
In the following figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is ______.
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
Find the value of x in the following figure.
What is the measure of an exterior angle if its adjacent interior angle measures 65∘?
