Angles are said to be produced whenever two or more straight lines intersect. Some types of angles are right angle, obtuse angle, acute angle, etc. Thus, the required proof is stated below:
Prove: <A > <C
<B > <D
An obtuse angle is a given angle that is greater than [tex]90^{o}[/tex] but less than [tex]180^{o}[/tex]. While an acute angle is a given angle that is less than [tex]90^{o}[/tex].
Thus extend AB to F, such that BF = CD.
Draw a perpendicular from a to intersect CD at point E.
So that;
<BAD = <BAE + <DAE (addition property of an angle)
Such that;
<A is an obtuse angle, while <C is an acute angle. Thu,
<A > <C (different types of angles)
Also,
<ADC = <CDF - <ADF (subtraction property of angles)
But both angles B and D are acute angles.
So that;
<B > <C (comparison of measures of two angles)
For more clarifications on types of angles, visit: https://brainly.com/question/11558730
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