Question

geometry 1st semester final review

1. ( mangle ucd = 55^circ ) and ( mangle bcu = 46^circ ).

find ( mangle bcd ).
there is a diagram with points c, b, u, d where c is the vertex, cb is a horizontal ray to the right, cu is a ray going down-right, cd is a vertical ray down, and d, u, b are points on their respective rays.

Explanation:

Step1: Identify angle addition

$\angle BCD = \angle BCU + \angle UCD$ (angle addition postulate)

Step2: Substitute values

$m\angle BCD = 46^\circ + 55^\circ$

Step3: Calculate sum

$46 + 55 = 101$, so $m\angle BCD = 101^\circ$

Answer:

$101^\circ$