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
[tex]\angle 1+\angle 2+\angle 3=180[/tex]
[tex]50+70+\angle 3=180[/tex]
[tex]\angle 3=180-50-70[/tex]
[tex]\angle 3=60[/tex]
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.
[tex]AC=AB[/tex]
[tex]AC=3[/tex]
Therefore option 4 is correct.
