What is the measure of \blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd? Angles are not necessarily drawn to scale.

\blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd ==equals
\Large{{}^\circ}
∘

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

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answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

your answer would be 12