Advertisements
Advertisements
प्रश्न
In the following figure, if y is five times x, find the value of z.
Advertisements
उत्तर
Given, y = 5x
According to the angle sum property of a triangle,
60° + x + y = 180°
⇒ 60° + x + 5x = 180° ...[∵ y = 5x]
⇒ 60° + 6x = 180°
⇒ 6x = 180° – 60° = 120°
⇒ x = `120^circ/6` = 20°
∴ y = 5x = 5 × 20 = 100°
According to the exterior angle property,
z = 60° + y
= 60° + 100° ...[∵ y = 100°]
= 160°
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.
Find the value of the unknown interior angle x in the following figure.
In the isosceles triangle ABC, ∠A, and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x − 17)° and (8x + 10)°, respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠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
Find angle x in Fig
Using the diagram find the value of x.
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to ______.
A triangle has interior opposite angles measuring 50° and 75°. What is the measure of the exterior angle at the third vertex?
