One of the two equal angles of an isosceles triangle is 64º. Find the measure of each angle of the
triangle
Answers
Step-by-step explanation:
Given:-
• One of the two equal angles of isosceles triangle is 64°.
Therefore, the other equal angle will also be 64°.
Therefore, the other equal angle will also be 64°.Now, as we know that the sum of all the interior angles of a triangle is 180°.
Two angles of the triangle are known to us i.e 64° and 64°, let the third angle of the triangle be x.
→ 64° + 64° + x = 180°
→ 128° + x = 180°
→ x = 180° - 128°
→ x = 52°
• The measure of the third angle of the triangle is 52°.
Therefore, all the three angles of the given triangle are 64°, 52° and 64°.
Please mark as “Brainliest Answer”....
Answer:
1 ST - ANGLE'S MEASURE IS 64 DEGREE
2 ND - ANGLE'S MEASURE IS 64 DEGREE
3 RD - ANGLE'S MEASURE IS 52 DEGREE
Step-by-step explanation:
IMPORTANT REMINDERR ---
SUM OF FULL TRIANGLE IS ALWAYS 180 DEGREE
SO,
1 ST ANGLE 64 DEGREE WAS ALREADY GIVEN IN THE QUESTION ,
2 ND ANGLE IS ALSO 64 DEGREE BECAUSE IN ISOSCELES TRIANGLE 2 OF THE 3 SIDES ARE EQUAL , SO I TOOK 2 ND SIDE AS SAME
3RD SIDE IS 52 DEGREE BECAUSE 64+64 IS 128 OKK... THEN THE SUM OF FULL TRIANGLE IS ALWAYS 180 DEGREE
SO TAKING OUT THE THIRD SIDE WE WILL SUBTRACT 128 ( THE SUM OF THE 2 ANGLES ) FROM 180 ( SUM OF ALL THREE SIDES ) ,
AND TYE THIRD WILL COME 180 - 128 = 52
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