Advertisements
Advertisements
प्रश्न
∠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.
Advertisements
उत्तर
Let the measures of ∠A be x°.
m∠A = m∠B = x°
∠ACD is the exterior angle of ∆ABC
∴ m∠ACD = m∠A + m∠B
∴ 140° = x + x
∴ 140° = 2x
∴ 2x = 140°
∴ x = `140^circ/2`
= 70°
∴ The measures of the angles ∠A and ∠B are 70°, respectively.
संबंधित प्रश्न
Find the value of the unknown interior angle x in the following figure.
Using the measures of the angles given in the figure alongside, find the measures of the remaining three angles.
Using the given figure find the value of x.
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
In the given figure BD = BC, find the value of x
In the given figure find the value of x
From the given figure find the value of y
Which of the following triplets cannot be the angles of a triangle?
In the following figure QP || RT. Find the values of x and y.
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.
