Advertisements
Advertisements
प्रश्न
From the given figure, the value of x is ______.
पर्याय
75°
90°
120°
60°
Advertisements
उत्तर
From the given figure, the value of x is 120°.
Explanation:
In ΔABC, ∠CAB + ∠ABC + ∠BCA = 180° ...[Angle sum property of a triangle]
⇒ 25° + 35° + ∠BCA = 180°
⇒ ∠BCA = 180° – 60°
⇒ ∠BCA = 120°
Also, ∠BCA is an exterior angle
∴ ∠BCA = ∠D + y
⇒ y = ∠BCA – ∠D = 120° – 60° ...[∵ ∠D = 60°, given]
⇒ y = 60°
Now, ∠x and ∠y from a linear pair
∴ x + y = 180°
⇒ x + 60° = 180°
⇒ x = 180° – 60° = 120°
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown exterior angle x in the following diagram:
If an exterior angle of a triangle is 115° and one of the interior opposite angles is 35°, then the other two angles of the triangle are
From the given figure find the value of y
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to ______.
In ∆ABC, ∠Α = 50°, ∠B = 70° and bisector of ∠C meets AB in D (see figure). Measure of ∠ADC is ______.
In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angles of the triangle.
In the following figure, ∆PQR is right-angled at P. U and T are the points on line QRF. If QP || ST and US || RP, find ∠S.
According to the Exterior Angle Rule, the measure of an exterior angle of a triangle is equal to the sum of which two angles?
What is the measure of an exterior angle if its adjacent interior angle measures 65∘?
A triangle has interior opposite angles measuring 50° and 75°. What is the measure of the exterior angle at the third vertex?
