Question

First one is brainlyest

Answer 1

Answer:

(1) The measure of the third angle is 60°. (2) The two triangles are the same shape but not the same size. (3) AC=3 inches.

Step-by-step explanation:

(1)

According to the angle sum property the sum of interior angles of a triangle is always 180°.

Two angles are 50° and 70º, therefore the measure of third angle is

$\angle 1+\angle 2+\angle 3=180$

$50+70+\angle 3=180$

$\angle 3=180-50-70$

$\angle 3=60$

Therefore the measure of third angle is 60º. Option 1 is correct.

(2)

Two triangle are equilateral triangles: one with a side length of 4 inches and one with a side length of 5 inches.

All sides of a equilateral triangle are same.

Since both are equilateral triangle, therefore all the sides of each triangle are same. But the side length of first triangle is 4 and side length of second triangle is 5.

The ratio of their corresponding sides are equal.

Therefore the two triangles are the same shape but not the same size. Option 4 is correct.

(3)

Triangle ABC is a right angle triangle with AB=3 in. , ∠A=90° , and ∠B=45° .

Using angle sum property ∠C=45°.

Since two angle are same therefore ABC is an isosceles triangle.

Angle B and C are same therefore side AC and AB are same.

$AC=AB$

$AC=3$

Therefore option 4 is correct.