2 Classify each triangle by its angles and its sides.

Answer:
10) acute triangle
13) right triangle
Step-by-step explanation:
all triangles have angles that add up to 180 degrees
find the third angle of the triangle by subtracting the known angles from 180
180-75-78=27
acute triangles have no angles that surpass 90 degrees which fits that triangle's description
180-54-36=90
since one angle is 90 degrees, it is a right triangle
Answer:
[tex]\huge\boxed{\bf\:10) \: Acute \: angled \: triangle}[/tex]
[tex]\huge\boxed{\bf\:11) \: Right \: angled \: triangle}[/tex]
Step-by-step explanation:
▪︎ Question 10 :
We need to find the missing angle at first. Take it as 'x' .
We know through the angle sum property of a triangle that the total sum of all the angles in a triangle will sum up to 180°. Hence,
75° + 78° + x° = 180°
153° + x° = 180°
x° = 180° - 153°
x° = 27°
Then, since all the angles are less than 90°, we can say that the triangle is an acute angled triangle.
[tex]\rule{150pt}{2pt}[/tex]
▪︎ Question 11 :
Just like the above question, we need to find the missing angle at first. Take it as 'y' .
The total sum of all the angles in a triangle will sum up to 180° (angle sum property of triangles). Hence,
36° + 54° + y° = 180°
90° + y° = 180°
y° = 180° - 90°
y° = 90°
Since, one angle is equal to 90°, the given triangle is a right angled triangle.
[tex]\rule{150pt}{2pt}[/tex]