Question

in the adjoining figure if the two mark the angles form a linear pair the greater angle measures ​

Answer 1

Answer:

angle ABD is 142°.

angle DBC is 38°.

angle ABD is greater than angle DBC.

Step-by-step explanation:

GIVEN : angle ABD = 2x - 10°.

&. angle DBC = x/2.

TO FIND : angle measurements and vale of "x".

As we know that,,

angle ABD + angle DBC = 180°.

: 2x - 10° + x/2 = 180°.

Now by the LCM ,,

: 4x - 20° + x

------------------- = 180°

2

: 4x - 20° + x = 360°.

: 5x - 20° = 360°.

: 5x = 360° + 20°.

: x = 380°/5.

: x = 76°.

angle ABD = (2×76°) - 10°.

= 152° - 10°.

= 142°.

angle DBC = 76°/2.

= 38°.

angle ABD is greater than angle DBC.

HOPE IT WILL BE HELPFUL!!..