Math, asked by nikitaajaysingla1977, 4 months ago

find the third angle, if other two angels are 2upon3 of a right angle is 4upon 5 of a right angle​

Answers

Answered by arpithmenon2018
0

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°

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