Question

What is the measure of \blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd?

Answer 1

Answer:

x = 71°

Step-by-step explanation:

By applying triangle sum theorem in ΔBHD,

m∠DBH + m∠BHD + m∠HDB = 180°

40° + m∠BHD + 31° = 180°

m∠BHD = 180° - 71° = 109°

m∠BHD + m∠DHE = 180° [Linear pair of angles]

109° + x° = 180°

x = 180° - 109°

x = 71°