Advertisements
Advertisements
प्रश्न
In the given figure, the value of x is ______.
विकल्प
65°
80°
95°
120°
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
In ΔABC, AD is the perpendicular bisector of BC (see the given figure). Show that ΔABC is an isosceles triangle in which AB = AC.
In figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD
Determine the measure of each of the equal angles of a right-angled isosceles triangle.
If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
PQR is a triangle in which PQ = PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS = PT.
ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB and AC are equal. Prove that the triangle is isosceles.
Which of the following statements are true (T) and which are false (F):
Angles opposite to equal sides of a triangle are equal
Which of the following statements are true (T) and which are false (F)?
If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it.
In the given figure, if BP || CQ and AC = BC, then the measure of x is
In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.
