Find the value of x. the diagram is not to scale.
a. 90.
b. 35.
c. 45.
d. 145.

The value of x is 45°

Option C is correct.

Step-by-step explanation:

Given the figure of pentagon in which measure of interior angles are

∠1=90°, ∠2=148°, ∠3=(3x+10)°, ∠4=x°, ∠5=112°

we have to find the value of x

As the sum of the internal angles in a simple pentagon is 540°.

∴ ∠1+∠2+∠3+∠4+∠5=540°

90°+148°+(3x+10)°+x°+112°=540°

4x+360°=540°

4x=540-360

4x=180

x=45

Hence, the value of x is 45°

Option C is correct.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

c

step-by-step explanation:

i think because what else can be a sample of every member