Hey I'm new so I don't have many points to give but could someone help me please

The angles measures are [37.5°], [75°], and [67.5°]

Step-by-step explanation:

Let us revise a fact about any triangle

We will use this fact to solve the question

∵ The measures of the angles of the given triangle are x°, 2x°, (x + 30)°

→ By using the fact above, equate their sum by 180°

∴ x + 2x + x + 30 = 180

→ Add the like terms in the left side

∴ (x + 2x + x) + 30 = 180

∴ 4x + 30 = 180

→ Subtract 30 from both sides

∴ 4x + 30 - 30 = 180 - 30

∴ 4x = 150

→ Divide both sides by 4 to find the value of x

∴

∴ x = 37.5

→ Substitute x by 37.5 in each angle

∴ x° = 37.5°

∴ 2x° = 2(37.5)° = 75°

∴ (x + 30)° = (37.5 + 30)° = 67.5°

The angles measures are [37.5°], [75°], and [67.5°]

To justify the answer substitute x by 37.5 in the equation

∵ 4x + 30 = 180

∵ x = 37.5

→ Left side = 4(37.5) + 30 = 150 + 30 = 180

→ Right side = 180

∵ Left side = Right side

∴ x = 37.5 is a correct answer.

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step-by-step explanation: