Question

MENTAL
MATH
Answer the following.
1. An exterior angle is of measure 75º and one of its interior opposite angles measures 25°. Find
the measure of the other interior opposite angle.
2. A triangle ABC is right-angled at C. IfAC=12 cm and BC=5 cm, then find the length of AB.
3. The three angles of a triangle are in the ratio 2:3:4. Find the measure of the greatest angle.
4. Two interior opposite angles corresponding to an exterior angle are 45° and 85°. Find the
measure of the exterior angle.
One of the angles of a triangle is 105º. One of the other two angles is half of the other. Find the
measure of the smallest angle of the triangle.
6. An exterior angle of a triangle is 100°. If its interior opposite angles are equal to each other
then find the measure ofeach of the interior opposite angle.
7. The ratio oftwo acute angles of a right angle triangle is 4:5. Find the smaller acute angle.
8. What do we call a line segment joining a vertex of a triangle to the mid-point of the opposite
side of the triangle?
9. What is the measure of each of the equal angles ofan isosceles right triangle?
10. Name the longest side of a right-angled triangle.​

Answer 1

Answer:

(1) 75= 25+x

x=50

(10) Hypotenuse