Advertisements
Advertisements
प्रश्न
The measures of ∠x and ∠y in the following figure are respectively.
विकल्प
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:
Using the measures of the angles given in the figure alongside, find the measures of the remaining three angles.
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, 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
From the given figure find the value of y
In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to ______.
In the given figure, ∠PRS = ∠ ______ + ∠ _______
Find the measure of ∠A in the following figure.
In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angles of the triangle.
If all three sides of a triangle are extended, how many distinct exterior angles are formed in total?
