Advertisements
Advertisements
Question
One angle of a right-angled triangle is 70°. Find the other acute angle.
Advertisements
Solution
We know that, sum of angles of a triangle = 180°.
Let, the acute angle be ‘x’
∴ x + 90° + 70° = 180°
⇒ x+ 160° = 180°
⇒ x= 180°-160°
⇒ x = 20°
∴The acute angle is 20°.
APPEARS IN
RELATED QUESTIONS
In a ΔABC, ∠ABC = ∠ACB and the bisectors of ∠ABC and ∠ACB intersect at O such that ∠BOC = 120°. Show that ∠A = ∠B = ∠C = 60°.
If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosce
Is the following statement true and false :
An exterior angle of a triangle is equal to the sum of the two interior opposite angles.
The angle of a vertex of an isosceles triangle is 100°. Find its base angles.
One of the base angles of an isosceles triangle is 52°. Find its angle of the vertex.
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
8.4 cm, 16.4 cm, 4.9 cm
In a ∆ABC, AB = AC. The value of x is ________
Q is a point on the side SR of a ∆PSR such that PQ = PR. Prove that PS > PQ.
Can we have two acute angles whose sum is an acute angle? Why or why not?
Identify three triangles in the figure.
