Advertisements
Advertisements
प्रश्न
In the given figure find the value of x
Advertisements
उत्तर
For ∆LNM, ∠LMK is the exterior angle at M
Exterior angle = sum of opposite interior angles
∠LMK = ∠MLN + ∠LNM
= 26° + 30°
= 56°
∠JMK = 56° ...[∵ ∠LMK = ∠JMK]
x is the exterior angle at J for ∆JKM
∴ x = ∠JKM + ∠KMJ ...[∵ Sum of interior opposite angles]
x = 58° + 56° ...[∵ ∠JMK = 56°]
x = 114°
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown exterior angle x in the following diagram:
∠ACD is an exterior angle of ∆ABC. The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B.
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
An exterior angle of a triangle is 70° and two interior opposite angles are equal. Then measure of each of these angle will be
If the exterior angle of a triangle is 140° and its interior opposite angles are equal, find all the interior angles of the triangle
In the given figure BD = BC, find the value of x
In the following figure, PQ = PR, RS = RQ and ST || QR. If the exterior angle RPU is 140°, then the measure of angle TSR is ______.
Find the measure of ∠A in the following figure.
According to the Exterior Angle Rule, the measure of an exterior angle of a triangle is equal to the sum of which two angles?
A triangle has interior opposite angles measuring 50° and 75°. What is the measure of the exterior angle at the third vertex?
