Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa sh
ow in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?
1 answer:
Answer:
55°
Step-by-step explanation:
Draw the diagram according to the given data (see attached diagram).
In this diagram,
- line AC is runway A;
- line BD is runway B;
- line AB is runway C.
Note that ∠GCH=35°
Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.
Angles CDI and BDE are vertical angles, so angles CDI and BDE are congruent as vertical angles.
Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so
m∠BED=90°-m∠BDE
m∠BED=90°-35°=55°
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Answer:
Step-by-step explanation:
Given
Triangle TSU
Bisector TX
Required
Length of SU
A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;
This means that line TX divides line SU into two equal part.
This implies that
and
Substitute ; The expression becomes
Recall that ;
So, the above expression becomes
Hence, the length of is 20