Question

Sandra drew an isosceles triangle that has an angle that measures 46 degrees. Which could be the measures of the other two angles (in degrees) in Sandra's triangle?​

Answer 1

Answer:

46 and 88° or 67 and 67°

Explanation:

An isosceles triangle has two sides of equal length and one other of a different length;

A triangle with such features also has 2 equal angles and one other;

If we consider that 46° is the angle that is not one of the two equal ones, then we can calculate the other two;

All angles in a triangle sum to 180, so:

180 - 46 = 134

The two remaining angles constitute 134° collectively;

If they are equal, each angle can be found like so:

¹³⁴/₂ = 67

Each of the two equal angles will be 67°;

Alternatively, if 46° is one of the two equal angles, then these two angles will be:
46 × 2 = 92

Then, the remaining angle can be found like so:

180 - 92 = 88

So the angles within the triangle are either:

46, 46 and 88°

or

46, 67 and 67°