Find the value of given expression
1 answer:
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Answer:
m∠C=30°
Step-by-step explanation:
we know that
<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal
so
m∠C=m∠D
substitute the given values
Solve for x
<em>Find the measure of angle C</em>
m∠C=(x+5)°
substitute the value of x
m∠C=(25+5)=30°
x = 37.5 (or)
Solution:
Given
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Do cross multiplication, we get
Subtract 30x from both sides of the equation.
Divide by 20 on both sides of the equation, we get
x = 37.5 (or)
Hence the value of x is 37.5 or .