Given: m arc IV =140°, m arc VK =30°, m∠ISV=135° Find: m∠VPL
1 answer:
Answer:
Step-by-step explanation:
step 1
Find the measure of arc PK
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
Let
x------> the measure of arc IV
y ------> the measure of arc PK
substitute the values and solve for y
The measure of arc PK is
step 2
Find the measure of angle VPL
we know that
The inscribed angle measures half that of the arc comprising
Let
z------> the measure of arc VK
y ------> the measure of arc PK
substitute the values
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Given:
Triangles ABC and DEF are similar triangles.
AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y
To find:
The values of unknown sides, i.e., x and y.
Solution:
We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so
Now,
Similarly,
Therefore, the measure of unknown sides are x = 12 m and y = 30 m.