What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 65° and its congruent sides
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Based on the given conditions, formulate:
Convert decimal to fraction:
Divide a fraction by multiplying its reciprocal:
Cross out the common factor:
Calculate the product or quotient:
get the result:
Answer:
Answer:
x = 3 and y = 2
x = 1.25 and y = 1.75
Step-by-step explanation:
Part 1:
See the diagram first.
If the two arrow lines are parallel then, the two triangles are similar.
So, the corresponding sides of the triangles are proportional.
So,
Hence, x = 3 and y = 2 (Answer)
Part 2:
See the diagram first.
If the two arrow lines are parallel then, the two triangles are similar.
So, the corresponding sides of the triangles are proportional.
So,
⇒
⇒ x = 1.25
Again,
⇒ y = 1.75
Hence, x = 1.25 and y = 1.75 (Answer)
Answer:
See explanation
Step-by-step explanation:
1. - given
2. - definition of midpoint (the midpoint of the segment divides the segment into two congruent segments)
3. - corresponding angles theorem (corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.)
4. - SAS (SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent).