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
Can a triangle have All angles less than 60° Justify your answer in case.
Is the following statement true and false :
A triangle can have two obtuse angles.
In a Δ ABC, the internal bisectors of ∠B and ∠C meet at P and the external bisectors of ∠B and ∠C meet at Q, Prove that ∠BPC + ∠BQC = 180°.
In the given figure, side BC of ΔABC is produced to point D such that bisectors of ∠ABC and ∠ACD meet at a point E. If ∠BAC = 68°, find ∠BEC.
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
Classify the following triangle according to angle:
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
S is any point on side QR of a ∆PQR. Show that: PQ + QR + RP > 2PS.
Can we have two acute angles whose sum is an obtuse angle? Why or why not?
How many angles are there inside a triangle?
