Question

please answer math geniuses

Answer 1

Answer:

I don't know

Step-by-step explanation:

make me as brainliest

Answer 2

1st Answer

To find the answer of this question, we should use a concept known as the 'angle sum property'. Each polygon has it's own property of angles. The quadrilateral also has one. The angle sum property of a quadrilateral says that, all the angles in the figure adds up to 360°. So,

According to the concept,

$\sf \dashrightarrow {Angle \: sum \: property}_{(Quadrilateral)} = {360}^{\circ}$

$\sf \dashrightarrow {70}^{\circ} + {110}^{\circ} + 14x + (23x - 5) = {360}^{\circ}$

$\sf \dashrightarrow {180}^{\circ} + 14x + 23x - 5 = {360}^{\circ}$

$\sf \dashrightarrow 175 + 37x = 360$

$\sf \dashrightarrow 37x = 360 - 175$

$\sf \dashrightarrow 37x = 185$

$\sf \dashrightarrow x = \dfrac{185}{37}$

$\sf \dashrightarrow x = 5$

Now, let's find each of the unknown angles.

Value of ∠T :-

$\sf \dashrightarrow 23x - 5$

$\sf \dashrightarrow 23(5) - 5$

$\sf \dashrightarrow 115 - 5$

$\sf \dashrightarrow \angle{T} = {110}^{\circ}$

Value of ∠U :-

$\sf \dashrightarrow 14x = 14(5)$

$\sf \dashrightarrow {70}^{\circ}$

Hence, the unknown angles are 110 and 70 degree respectively.

2nd Answer

To find the unknown angle in this question, we use the same method. But, the angle sum property of a pentagon is different from other. The angle sum property for all types of pentagons is 540°.

The other unnamed angle in the pentagon is 90°.

$\sf \dashrightarrow {135}^{\circ} + {112}^{\circ} + {88}^{\circ} + {90}^{\circ} + y = {540}^{\circ}$

$\sf \dashrightarrow {247}^{\circ} + {178}^{\circ} + y = {540}^{\circ}$

$\sf \dashrightarrow {425}^{\circ} + y = {540}^{\circ}$

$\sf \dashrightarrow y = 540 - 425$

$\sf \dashrightarrow y = {115}^{\circ}$

Hence, the value of the unknown angle is 115°.