Question

in a triangle sum of two angles is 90 degree which is the measure of the third angle also the difference of these two angles is 10 degree find the measure of these two unknown angles​

Answer 1

The total measure of all 3 angles of any triangle is 180°. Every right-angled triangle or right triangle has one right angle, and that right angle measures 90°; therefore, we can write the following equation for our given right triangle:

The measure of the right angle + the given measure of one of the acute angles + the measure of the third angle = 180°

90° + 52° + the measure of the third angle = 180°

142° + the measure of the third angle = 180°

Now, subtract 142° from both sides of the equation:

142° - 142° + the measure of the third angle = 180° - 142°

The measure of the third angle = 38°

CHECK:
The measure of the right angle + the given measure of one of the acute angles + the measure of the third angle = 180°

90° + 52° + the measure of the third angle = 180°

90° + 52° + 38° = 180°

180° = 180°

Answer 2

Hey friend, Here is your answer in the picture.

The measure of the two angles is 50° and 40°

Hope it will help you.

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