Respuesta :
Answer:
x = 78°
Step-by-step explanation:
From the picture attached,
From ΔBHD,
m∠DBH + m∠BDH + m∠BHD = 180°
47° + 31° + m∠BHD = 180°
m∠BHD = 180° - 78°
m∠BHD = 102°
Since, ∠BHD and ∠BHC are the linear pair of angles,
m∠BHD + m∠BHC = 180°
102° + m∠BHC = 180°
m∠BHC = 180° - 102°
x° = 78°
The measure of the angle x from the diagram is 78 degrees
From the diagram, the sum of angle in thee interior angle of the triangle BDH is 180 degrees hence;
m<B + m<D +m<H= 180
47 + 31 + m<BHD = 180
78 + m<BHD = 180
m<BHD = 180 - 78
m<BHD = 102 degrees
Next is to get the unknown value "x"
The sum of angle on the straight line DHC is 180 degrees. Hence:
m<BHD + x = 180
x = 180 - m<BHD
x = 180 - 102
x = 78 degrees
Hence the measure of the angle x from the diagram is 78 degrees
Learn more here: https://brainly.com/question/21680544