Advertisements
Advertisements
प्रश्न
In the given figure, the value of x is ______.
विकल्प
65°
80°
95°
120°
Advertisements
उत्तर
In the given figure, the value of x is 120°.
Explanation:
In the given figure, we need to find the value of x
Here, according to the angle sum property of the triangle
In ΔABD
∠BAD + ∠DBA + ∠ADB = 180°
55° + ∠DBA + 25° = 180°
80 + ∠DBA = 180°
∠DBA = 180° - 80°
∠DBA = 100°
∠DBA = 100°
Also, ABC is a straight line. So, using the property, “angles forming a linear pair are supplementary”, we get,
∠DBA + ∠DBC = 180°
100 + ∠DBC = 180°
∠DBC = 180° - 100°
∠DBC = 80°
Further, using the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get
ext. ∠DOC + ∠OBC + ∠OCB
x = 80°+ 40°
x = 120°
Thus, x = 120°
APPEARS IN
संबंधित प्रश्न
Find the measure of each exterior angle of an equilateral triangle.
In a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC = ∠ABC.
ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles
Which of the following statements are true (T) and which are false (F):
Sides opposite to equal angles of a triangle may be unequal
Which of the following statements are true (T) and which are false (F):
The bisectors of two equal angles of a triangle are equal
Fill the blank in the following so that the following statement is true.
Angle opposite to equal sides of a triangle are .....
Which of the following statements are true (T) and which are false (F)?
Sum of the three sides of a triangle is less than the sum of its three altitudes.
Which of the following statements are true (T) and which are false (F)?
Sum of any two sides of a triangle is greater than twice the median drawn to the third side.
Which of the following statements are true (T) and which are false (F)?
Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.
Fill in the blank to make the following statement true.
In a right triangle the hypotenuse is the .... side.
In the given figure, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find x and y.
In the given figure, what is y in terms of x?
If the bisectors of the acute angles of a right triangle meet at O, then the angle at Obetween the two bisectors is
The angles of a right angled triangle are
In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.
