Math / Geometry

Question1)) What is the value of $t$ ? 4)) $t=$ $\square$

Studdy Solution

STEP 1

1. We are given a triangle with angles labeled as $36^\circ$ , $98^\circ$ , and $2t$ .
2. The sum of the angles in any triangle is $180^\circ$ .
3. We need to find the value of $t$ .

STEP 2

1. Set up an equation using the sum of the angles in a triangle.
2. Solve the equation for $t$ .

STEP 3

Set up the equation using the sum of the angles in a triangle. The sum of the angles in a triangle is $180^\circ$ . Therefore, we have:
$36^\circ + 98^\circ + 2t = 180^\circ$

STEP 4

Solve the equation for $t$ . First, combine the known angle measures:
$36^\circ + 98^\circ = 134^\circ$
Substitute back into the equation:
$134^\circ + 2t = 180^\circ$

STEP 5

Isolate $2t$ by subtracting $134^\circ$ from both sides of the equation:
$2t = 180^\circ - 134^\circ$ $2t = 46^\circ$

STEP 6

Solve for $t$ by dividing both sides by 2:
$t = \frac{46^\circ}{2}$ $t = 23^\circ$
The value of $t$ is:
$\boxed{23^\circ}$

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