Advertisements
Advertisements
Question
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
Advertisements
Solution
We know that,
Exterior angle of a triangle is always equal to the sum of its two interior opposite angles (property)
x+115° = 180°
(linear property of angles)
⇒ x = 180°- 115° ⇒ x = 65°
∴115° = x + y
⇒ 115° = 65° + y
⇒ y= 115° – 65° =50°
y = 50°
APPEARS IN
RELATED QUESTIONS
In Fig. 10.25, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD.
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
In ΔABC, if bisectors of ∠ABC and ∠ACB intersect at O at angle of 120°, then find the measure of ∠A.
State, if the triangle is possible with the following angles :
20°, 70°, and 90°
Calculate the unknown marked angles of the following figure :
One angle of a right-angled triangle is 70°. Find the other acute angle.
As shown in the figure, Avinash is standing near his house. He can choose from two roads to go to school. Which way is shorter? Explain why.
AB and CD are the smallest and largest sides of a quadrilateral ABCD. Out of ∠B and ∠D decide which is greater.
The number of angles in the following figure is ______.
Identify three triangles in the figure.
