Question

Q11. Two angles of a triangle measure 90° and 30°. The
measure of the third angle is
90°
30°
60°
120°​

Answer 1

Answer:

60°

Step-by-step explanation:

Let a triangle ABC, such that

∠A=90 °

,∠B=30°

Now,

∠A+∠B+∠C=180°

⇒90°+30° +∠C=180°

⇒∠C=180−120

∴∠C=60°

Answer 2

Given : Two angles of a triangle measure 90° and 30°

To Find :  The measure of the third angle is

Solution:

Triangle angle sum property :

Sum of measures of  all three angles of a triangle is 180°

Measures  of Two angles are given as 90° and 30°

Assume that measure of third angle is  x

x + 90° + 30°  = 180°

=> x + 120° = 180°

=>  x= 180° - 120°

=> x = 60°

Hence measure of third angle is  60°

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