bisects and bisects is . What is the measure in degrees of in the figure?

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The ACT Mathematics Test contains 60 questions to be answered in 60 minutes.  The hardest ACT math questions (the last 10 to 15 questions) fall into two types: advanced concepts and complex questions. Advanced concepts questions cover what you learn in precalculus and trigonometry. FYI: Students that get into Harvard College have an ACT score of 34–36.

<img alt='images' src='https://www.fatskills.com/images2/ACT/eq02555.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mover accent='true'><m:mrow><m:mi>B</m:mi><m:mi>X</m:mi></m:mrow><m:mo stretchy='true'>¯</m:mo></m:mover></m:mrow></m:math>--> bisects <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02556.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>∠</m:mo><m:mi>A</m:mi><m:mi>B</m:mi><m:mi>Y</m:mi></m:mrow></m:math>--> and <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02557.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mover accent='true'><m:mrow><m:mi>B</m:mi><m:mi>Z</m:mi></m:mrow><m:mo stretchy='true'>¯</m:mo></m:mover></m:mrow></m:math>--> bisects <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02558.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>∠</m:mo><m:mi>Y</m:mi><m:mi>B</m:mi><m:mi>C</m:mi></m:mrow></m:math>--><em .</em> The measure of <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02559.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>∠</m:mo><m:mi>Y</m:mi><m:mi>B</m:mi><m:mi>Z</m:mi></m:mrow></m:math>--> is <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02560.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mn>60</m:mn><m:mi>°</m:mi></m:mrow></m:math>-->. What is the measure in degrees of <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02561.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>∠</m:mo><m:mi>A</m:mi><m:mi>B</m:mi><m:mi>X</m:mi></m:mrow></m:math>-->in the figure?<br><img alt='image' src='https://www.fatskills.com/images2/ACT/9781119275435-fg0251.png' />