Question

the vertical angle of an isosceles triangle is 90 degree. then, the measures of each of its base angles is 30 degree 45 degree 60 degree none of these​

Answer 1

Step-by-step explanation:

Let the other two angles be x° .

According to question , verticle angle = 90°

Therefore , 90° + x + x =180° (angle sum property of a triangle)

90° +2x = 180°

2x = 180° - 90°

2x = 90°

x = 90° / 2

x = 45°

So , measure of other two angles = 45° .

Some other information:

In an isosceles triangle , any two sides are equal and the angles opposite to equal sides are equal .

According to angle sum property of a triangle , the sum of all interior angle of a triangle is 180° .

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Answer 2

Answer:

Let the other two angles be x° .

Let the other two angles be x° .According to question , verticle angle = 90°

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°x = 90° / 2

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°x = 90° / 2x = 45°

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°x = 90° / 2x = 45°So , measure of other two angles = 45° .

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°x = 90° / 2x = 45°So , measure of other two angles = 45° .Some other information:

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°x = 90° / 2x = 45°So , measure of other two angles = 45° .Some other information:In an isosceles triangle , any two sides are equal and the angles opposite to equal sides are equal .

Let the other two angles be x° .According to question , verticle angle = 90°Therefore , 90° + x + x =180° (angle sum property of a triangle)90° +2x = 180°2x = 180° - 90°2x = 90°x = 90° / 2x = 45°So , measure of other two angles = 45° .Some other information:In an isosceles triangle , any two sides are equal and the angles opposite to equal sides are equal .According to angle sum property of a triangle , the sum of all interior angle of a triangle is 180° .