Advertisements
Advertisements
प्रश्न
In ∆PQR, if PQ = QR and ∠Q = 100°, then ∠R is equal to ______.
पर्याय
40°
80°
120°
50°
उत्तर
In ∆PQR, if PQ = QR and ∠Q = 100°, then ∠R is equal to 40°.
Explanation:
Let ∠R = x
PQ = QR ......(Given)
∴ ∠R = ∠P = x
Now, in ΔPOR
∠P + ∠Q + ∠R = 180° ......(Angle sum property)
⇒ x + 100° + x = 180°
⇒ 2x = 180° – 100° = 80°
⇒ x = `80^circ/2` = 40°
Thus, ∠R = 40°
APPEARS IN
संबंधित प्रश्न
In the given figure, ∠X = 62º, ∠XYZ = 54º. If YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively of ΔXYZ, find ∠OZY and ∠YOZ.
Find the value of the unknown x in the following diagram:
Find the value of the unknown x in the following diagram:
Observe the figure and find the value of ∠A + ∠N + ∠G + ∠L + ∠E + ∠S
An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is ______.
Triangle DEF of the given figure is a right triangle with ∠E = 90°. What type of angles are ∠D and ∠F?
In the given figure, PQ = PS. The value of x is ______.
If one angle of a triangle is equal to the sum of the other two angles, the triangle is ______.
If two angles of a triangle are equal, the third angle is also equal to each of the other two angles.
The measure of three angles of a triangle are in the ratio 5:3:1. Find the measures of these angles.
