D B
E
1
3
A
IC
Points A. B, and form a triangle. Complete the statements to prove that the sum of the interior angles of AABCIS
Statement
Reason
Points A, B, and Cform a triangle.
given
Let DE be a line passing through B and parallel to AC. definition of parallel lines
23 25 and 2124
mz1 = m24 and mz3 = m25
m24+ m_2 + m25 = 180°
pight li
Alternate Interior Angles Theorem
m2 1 + m2 + m23 = 180°
Alternate Exterior Angles Theorem
Corresponding Angles Theorem
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Congruent angles have equal measures

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )