Advertisements
Advertisements
प्रश्न
Find the value of x in the given triangle
Advertisements
उत्तर
In ∆ABC, given B = 65°,
AC is extended to L, the exterior angle at C, ∠BCL = 135°
Exterior angle is equal to the sum of opposite interior angles.
∠A + ∠B = ∠BCL
∠A + 65° = 135°
∠A = 135° – 65°
∴ ∠A = 70°
x + ∠A = 180° ...[∵ linear pair]
x + 70° = 180° ...[∵ ∠A = 70°]
x = 180° – 70°
∴ x = 110°
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown interior angle x in the following figure.
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, find the value of x
If the exterior angle of a triangle is 140° and its interior opposite angles are equal, find all the interior angles of the triangle
Find the value of ‘x’ in the given figure
Which of the following triplets cannot be the angles of a triangle?
The sum of an exterior angle of a triangle and its adjacent angle is always ______.
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
Find the value of x in the following figure.
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.
In the following figure, if y is five times x, find the value of z.
